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152212152 = 233171931933
BaseRepresentation
bin10010001001010…
…01001010111000
3101121102011211010
421010221022320
5302431242102
623034233520
73525532131
oct1104511270
9347364733
10152212152
1178a13274
1242b858a0
13256c4a81
1416302c88
15d569d6c
hex91292b8

152212152 has 64 divisors (see below), whose sum is σ = 405211680. Its totient is φ = 47480832.

The previous prime is 152212133. The next prime is 152212157. The reversal of 152212152 is 251212251.

It is a super-2 number, since 2×1522121522 = 46337078432942208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152212157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77778 + ... + 79710.

Almost surely, 2152212152 is an apocalyptic number.

152212152 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 152212152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202605840).

152212152 is an abundant number, since it is smaller than the sum of its proper divisors (252999528).

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

152212152 is a wasteful number, since it uses less digits than its factorization.

152212152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its digits is 400, while the sum is 21.

The square root of 152212152 is about 12337.4289055702. The cubic root of 152212152 is about 533.9285067496.

Subtracting 152212152 from its reverse (251212251), we obtain a palindrome (99000099).

The spelling of 152212152 in words is "one hundred fifty-two million, two hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 193 204 386 408 579 772 1158 1544 1933 2316 3281 3866 4632 5799 6562 7732 9843 11598 13124 15464 19686 23196 26248 32861 39372 46392 65722 78744 98583 131444 197166 262888 373069 394332 746138 788664 1119207 1492276 2238414 2984552 4476828 6342173 8953656 12684346 19026519 25368692 38053038 50737384 76106076 152212152