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122465088 = 2633131541
BaseRepresentation
bin1110100110010…
…10101101000000
322112102212112000
413103022231000
5222322340323
620052504000
73014636034
oct723125500
9275385460
10122465088
1163145919
123501b000
131c4aac65
141239c1c4
15ab40e43
hex74cab40

122465088 has 112 divisors (see below), whose sum is σ = 363443520. Its totient is φ = 40435200.

The previous prime is 122465081. The next prime is 122465099. The reversal of 122465088 is 880564221.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122465081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226098 + ... + 226638.

Almost surely, 2122465088 is an apocalyptic number.

122465088 is a gapful number since it is divisible by the number (18) 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 122465088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181721760).

122465088 is an abundant number, since it is smaller than the sum of its proper divisors (240978432).

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

122465088 is a wasteful number, since it uses less digits than its factorization.

122465088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 122465088 is about 11066.3945348067. The cubic root of 122465088 is about 496.5970091841.

The spelling of 122465088 in words is "one hundred twenty-two million, four hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 541 576 786 864 1048 1082 1179 1572 1623 1728 2096 2164 2358 3144 3246 3537 4192 4328 4716 4869 6288 6492 7074 8384 8656 9432 9738 12576 12984 14148 14607 17312 18864 19476 25152 25968 28296 29214 34624 37728 38952 51936 56592 58428 70871 75456 77904 103872 113184 116856 141742 155808 212613 226368 233712 283484 311616 425226 467424 566968 637839 850452 934848 1133936 1275678 1700904 1913517 2267872 2551356 3401808 3827034 4535744 5102712 6803616 7654068 10205424 13607232 15308136 20410848 30616272 40821696 61232544 122465088