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152233088 = 277712393
BaseRepresentation
bin10010001001011…
…10010010000000
3101121110020112112
421010232102000
5302432424323
623034514452
73525650150
oct1104562200
9347406475
10152233088
1178a27a77
1242b95a28
1325701467
141630a760
15d571178
hex912e480

152233088 has 64 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 64296960.

The previous prime is 152233087. The next prime is 152233097. The reversal of 152233088 is 880332251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (152233087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62420 + ... + 64812.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2152233088 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 152233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

152233088 is an abundant number, since it is smaller than the sum of its proper divisors (199397632).

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

152233088 is an equidigital number, since it uses as much as digits as its factorization.

152233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 152233088 is about 12338.2773513972. The cubic root of 152233088 is about 533.9529853356.

The spelling of 152233088 in words is "one hundred fifty-two million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 284 448 497 568 896 994 1136 1988 2272 2393 3976 4544 4786 7952 9088 9572 15904 16751 19144 31808 33502 38288 63616 67004 76576 134008 153152 169903 268016 306304 339806 536032 679612 1072064 1189321 1359224 2144128 2378642 2718448 4757284 5436896 9514568 10873792 19029136 21747584 38058272 76116544 152233088