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223243134200400 = 24352593153151613
BaseRepresentation
bin110010110000100111010111…
…101101100110101001010000
31002021102211112212020221100110
4302300213113231212221100
5213230103414323403100
62110444251404521320
765010532656241026
oct6260472755465120
91067384485227313
10223243134200400
116514a977357466
1221056021b50240
1397749778b5082
143d1b04d7a4716
151ac20ed827250
hexcb09d7b66a50

223243134200400 has 120 divisors (see below), whose sum is σ = 727242888252960. Its totient is φ = 58522493918720.

The previous prime is 223243134200381. The next prime is 223243134200419. The reversal of 223243134200400 is 4002431342322.

223243134200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223243134200381) and next prime (223243134200419).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2232431342004003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576505007 + ... + 1576646606.

It is an arithmetic number, because the mean of its divisors is an integer number (6060357402108).

Almost surely, 2223243134200400 is an apocalyptic number.

223243134200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223243134200400 is an abundant number, since it is smaller than the sum of its proper divisors (503999754052560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223243134200400 is a wasteful number, since it uses less digits than its factorization.

223243134200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153151693 (or 3153151682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 223243134200400 its reverse (4002431342322), we get a palindrome (227245565542722).

The spelling of 223243134200400 in words is "two hundred twenty-three trillion, two hundred forty-three billion, one hundred thirty-four million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 59 60 75 80 100 118 120 150 177 200 236 240 295 300 354 400 472 590 600 708 885 944 1180 1200 1416 1475 1770 2360 2832 2950 3540 4425 4720 5900 7080 8850 11800 14160 17700 23600 35400 70800 3153151613 6306303226 9459454839 12612606452 15765758065 18918909678 25225212904 31531516130 37837819356 47297274195 50450425808 63063032260 75675638712 78828790325 94594548390 126126064520 151351277424 157657580650 186035945167 189189096780 236486370975 252252129040 315315161300 372071890334 378378193560 472972741950 558107835501 630630322600 744143780668 756756387120 930179725835 945945483900 1116215671002 1261260645200 1488287561336 1860359451670 1891890967800 2232431342004 2790539177505 2976575122672 3720718903340 3783781935600 4464862684008 4650898629175 5581078355010 7441437806680 8929725368016 9301797258350 11162156710020 13952695887525 14882875613360 18603594516700 22324313420040 27905391775050 37207189033400 44648626840080 55810783550100 74414378066800 111621567100200 223243134200400