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23122552005 = 355713919559
BaseRepresentation
bin10101100010001101…
…100010010011000101
32012200110011100100000
4111202031202103011
5334323333131010
614342232311513
71445666310030
oct254215422305
965613140300
1023122552005
119896094613
124593842599
13224659a847
141194cb0017
15904e6b7c0
hex5623624c5

23122552005 has 96 divisors (see below), whose sum is σ = 47845324800. Its totient is φ = 10493727552.

The previous prime is 23122552001. The next prime is 23122552069. The reversal of 23122552005 is 50025522132.

23122552005 is a `hidden beast` number, since 231 + 225 + 5 + 200 + 5 = 666.

It is not a de Polignac number, because 23122552005 - 22 = 23122552001 is a prime.

It is a super-2 number, since 2×231225520052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 23122552005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122552001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1172416 + ... + 1191974.

It is an arithmetic number, because the mean of its divisors is an integer number (498388800).

Almost surely, 223122552005 is an apocalyptic number.

It is an amenable number.

23122552005 is an abundant number, since it is smaller than the sum of its proper divisors (24722772795).

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

23122552005 is a wasteful number, since it uses less digits than its factorization.

23122552005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19725 (or 19713 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 23122552005 in words is "twenty-three billion, one hundred twenty-two million, five hundred fifty-two thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 139 189 243 315 405 417 567 695 945 973 1215 1251 1701 2085 2835 2919 3753 4865 6255 8505 8757 11259 14595 18765 19559 26271 33777 43785 56295 58677 78813 97795 131355 136913 168885 176031 236439 293385 394065 410739 528093 684565 880155 1182195 1232217 1584279 2053695 2640465 2718701 3696651 4752837 6161085 7921395 8156103 11089953 13593505 18483255 19030907 23764185 24468309 33269859 40780515 55449765 57092721 73404927 95154535 122341545 166349295 171278163 220214781 285463605 367024635 513834489 660644343 856390815 1101073905 1541503467 2569172445 3303221715 4624510401 7707517335 23122552005