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122172552 = 23324779457
BaseRepresentation
bin1110100100000…
…11010010001000
322111220000020100
413102003102020
5222234010202
620042325400
73012310125
oct722032210
9274800210
10122172552
1162a66057
1234ab9860
131c407a68
141232374c
15aad441c
hex7483488

122172552 has 96 divisors (see below), whose sum is σ = 342950400. Its totient is φ = 39267072.

The previous prime is 122172551. The next prime is 122172559. The reversal of 122172552 is 255271221.

It is a super-2 number, since 2×1221725522 = 29852264924385408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122172551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267108 + ... + 267564.

It is an arithmetic number, because the mean of its divisors is an integer number (3572400).

Almost surely, 2122172552 is an apocalyptic number.

122172552 is a gapful number since it is divisible by the number (12) 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 122172552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171475200).

122172552 is an abundant number, since it is smaller than the sum of its proper divisors (220777848).

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

122172552 is a wasteful number, since it uses less digits than its factorization.

122172552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 588 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 122172552 is about 11053.1693192496. The cubic root of 122172552 is about 496.2012819036.

The spelling of 122172552 in words is "one hundred twenty-two million, one hundred seventy-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 79 94 141 158 188 237 282 316 376 423 457 474 564 632 711 846 914 948 1128 1371 1422 1692 1828 1896 2742 2844 3384 3656 3713 4113 5484 5688 7426 8226 10968 11139 14852 16452 21479 22278 29704 32904 33417 36103 42958 44556 64437 66834 72206 85916 89112 108309 128874 133668 144412 171832 193311 216618 257748 267336 288824 324927 386622 433236 515496 649854 773244 866472 1299708 1546488 1696841 2599416 3393682 5090523 6787364 10181046 13574728 15271569 20362092 30543138 40724184 61086276 122172552