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122056344 = 233241173239
BaseRepresentation
bin1110100011001…
…10111010011000
322111200002211100
413101212322120
5222221300334
620040031400
73011314254
oct721467230
9274602740
10122056344
1162996813
1234a62560
131c396bb7
14122d3264
15aaaec99
hex7466e98

122056344 has 96 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 39298560.

The previous prime is 122056327. The next prime is 122056367. The reversal of 122056344 is 443650221.

122056344 is a `hidden beast` number, since 1 + 2 + 20 + 5 + 634 + 4 = 666.

It is a super-2 number, since 2×1220563442 = 29795502221292672, which contains 22 as substring.

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, 510577 + ... + 510815.

It is an arithmetic number, because the mean of its divisors is an integer number (3562650).

Almost surely, 2122056344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122056344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

122056344 is an abundant number, since it is smaller than the sum of its proper divisors (219958056).

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

122056344 is a wasteful number, since it uses less digits than its factorization.

122056344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 122056344 is about 11047.9112958061. The cubic root of 122056344 is about 496.0439065364.

It can be divided in two parts, 12 and 2056344, that added together give a square (2056356 = 14342).

The spelling of 122056344 in words is "one hundred twenty-two million, fifty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 173 239 246 328 346 369 478 492 519 692 717 738 956 984 1038 1384 1434 1476 1557 1912 2076 2151 2868 2952 3114 4152 4302 5736 6228 7093 8604 9799 12456 14186 17208 19598 21279 28372 29397 39196 41347 42558 56744 58794 63837 78392 82694 85116 88191 117588 124041 127674 165388 170232 176382 235176 248082 255348 330776 352764 372123 496164 510696 705528 744246 992328 1488492 1695227 2976984 3390454 5085681 6780908 10171362 13561816 15257043 20342724 30514086 40685448 61028172 122056344