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23122485400 = 2352717257149
BaseRepresentation
bin10101100010001101…
…010010000010011000
32012200110000221222011
4111202031102002120
5334323324013100
614342231035304
71445665611610
oct254215220230
965613027864
1023122485400
119896049573
12459380bb34
132246576431
141194c93a40
15904e56bba
hex562352098

23122485400 has 144 divisors (see below), whose sum is σ = 65267586000. Its totient is φ = 7461242880.

The previous prime is 23122485391. The next prime is 23122485401. The reversal of 23122485400 is 458422132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122485401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376026 + ... + 433174.

It is an arithmetic number, because the mean of its divisors is an integer number (453247125).

Almost surely, 223122485400 is an apocalyptic number.

23122485400 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 23122485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32633793000).

23122485400 is an abundant number, since it is smaller than the sum of its proper divisors (42145100600).

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

23122485400 is a wasteful number, since it uses less digits than its factorization.

23122485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57206 (or 57180 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The spelling of 23122485400 in words is "twenty-three billion, one hundred twenty-two million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 289 340 350 425 476 578 595 680 700 850 952 1156 1190 1400 1445 1700 2023 2312 2380 2890 2975 3400 4046 4760 5780 5950 7225 8092 10115 11560 11900 14450 16184 20230 23800 28900 40460 50575 57149 57800 80920 101150 114298 202300 228596 285745 400043 404600 457192 571490 800086 971533 1142980 1428725 1600172 1943066 2000215 2285960 2857450 3200344 3886132 4000430 4857665 5714900 6800731 7772264 8000860 9715330 10001075 11429800 13601462 16001720 16516061 19430660 20002150 24288325 27202924 33032122 34003655 38861320 40004300 48576650 54405848 66064244 68007310 80008600 82580305 97153300 115612427 132128488 136014620 165160610 170018275 194306600 231224854 272029240 330321220 340036550 412901525 462449708 578062135 660642440 680073100 825803050 924899416 1156124270 1360146200 1651606100 2312248540 2890310675 3303212200 4624497080 5780621350 11561242700 23122485400