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23003221200 = 24352139137909
BaseRepresentation
bin10101011011000110…
…010100110011010000
32012101010121201020120
4111123012110303100
5334102311034300
614322330510240
71443020103561
oct253306246320
965333551216
1023003221200
11983479a613
12455b895380
1322279493bb
1411830ca168
158e97493a0
hex55b194cd0

23003221200 has 120 divisors (see below), whose sum is σ = 74217645600. Its totient is φ = 6090017280.

The previous prime is 23003221181. The next prime is 23003221217. The reversal of 23003221200 is 212230032.

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

It is a super-2 number, since 2×230032212002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23003221200.

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, 97846 + ... + 235754.

It is an arithmetic number, because the mean of its divisors is an integer number (618480380).

Almost surely, 223003221200 is an apocalyptic number.

23003221200 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 23003221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37108822800).

23003221200 is an abundant number, since it is smaller than the sum of its proper divisors (51214424400).

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

23003221200 is a wasteful number, since it uses less digits than its factorization.

23003221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138069 (or 138058 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23003221200 its reverse (212230032), we get a palindrome (23215451232).

The spelling of 23003221200 in words is "twenty-three billion, three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 139 150 200 240 278 300 400 417 556 600 695 834 1112 1200 1390 1668 2085 2224 2780 3336 3475 4170 5560 6672 6950 8340 10425 11120 13900 16680 20850 27800 33360 41700 55600 83400 137909 166800 275818 413727 551636 689545 827454 1103272 1379090 1654908 2068635 2206544 2758180 3309816 3447725 4137270 5516360 6619632 6895450 8274540 10343175 11032720 13790900 16549080 19169351 20686350 27581800 33098160 38338702 41372700 55163600 57508053 76677404 82745400 95846755 115016106 153354808 165490800 191693510 230032212 287540265 306709616 383387020 460064424 479233775 575080530 766774040 920128848 958467550 1150161060 1437701325 1533548080 1916935100 2300322120 2875402650 3833870200 4600644240 5750805300 7667740400 11501610600 23003221200