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152122256 = 241113173911
BaseRepresentation
bin10010001000100…
…11001110010000
3101121020121111122
421010103032100
5302420403011
623032301412
73525006056
oct1104231620
9347217448
10152122256
1178961780
1242b41868
1325692b90
14162bc1d6
15d54d3db
hex9113390

152122256 has 80 divisors (see below), whose sum is σ = 366726528. Its totient is φ = 60057600.

The previous prime is 152122247. The next prime is 152122283. The reversal of 152122256 is 652221251.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36941 + ... + 40851.

Almost surely, 2152122256 is an apocalyptic number.

152122256 is a gapful number since it is divisible by the number (16) 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 152122256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183363264).

152122256 is an abundant number, since it is smaller than the sum of its proper divisors (214604272).

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

152122256 is a wasteful number, since it uses less digits than its factorization.

152122256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3954 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 152122256 is about 12333.7851448775. The cubic root of 152122256 is about 533.8233739056.

The spelling of 152122256 in words is "one hundred fifty-two million, one hundred twenty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 136 143 176 187 208 221 272 286 374 442 572 748 884 1144 1496 1768 2288 2431 2992 3536 3911 4862 7822 9724 15644 19448 31288 38896 43021 50843 62576 66487 86042 101686 132974 172084 203372 265948 344168 406744 531896 559273 688336 731357 813488 864331 1063792 1118546 1462714 1728662 2237092 2925428 3457324 4474184 5850856 6914648 8948368 9507641 11701712 13829296 19015282 38030564 76061128 152122256