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223034452000 = 2553519710729
BaseRepresentation
bin1100111110110111100…
…0111010100000100000
3210022200122200002100021
43033231320322200200
512123233304431000
6250243254203224
722054000363513
oct3175570724040
9708618602307
10223034452000
1186652151998
1237285953514
1318055581829
14ab1b3bad7a
155c057dc11a
hex33ede3a820

223034452000 has 96 divisors (see below), whose sum is σ = 548152179120. Its totient is φ = 89188300800.

The previous prime is 223034451967. The next prime is 223034452007. The reversal of 223034452000 is 254430322.

223034452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 17937780624 + 205096671376 = 133932^2 + 452876^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (223034452007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20782636 + ... + 20793364.

Almost surely, 2223034452000 is an apocalyptic number.

223034452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223034452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274076089560).

223034452000 is an abundant number, since it is smaller than the sum of its proper divisors (325117727120).

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

223034452000 is a wasteful number, since it uses less digits than its factorization.

223034452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15951 (or 15933 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 223034452000 its reverse (254430322), we get a palindrome (223288882322).

The spelling of 223034452000 in words is "two hundred twenty-three billion, thirty-four million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 5197 10394 10729 20788 21458 25985 41576 42916 51970 53645 83152 85832 103940 107290 129925 166304 171664 207880 214580 259850 268225 343328 415760 429160 519700 536450 649625 831520 858320 1039400 1072900 1299250 1341125 1716640 2078800 2145800 2598500 2682250 4157600 4291600 5197000 5364500 8583200 10394000 10729000 20788000 21458000 42916000 55758613 111517226 223034452 278793065 446068904 557586130 892137808 1115172260 1393965325 1784275616 2230344520 2787930650 4460689040 5575861300 6969826625 8921378080 11151722600 13939653250 22303445200 27879306500 44606890400 55758613000 111517226000 223034452000