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152233080 = 23351737333
BaseRepresentation
bin10010001001011…
…10010001111000
3101121110020112020
421010232101320
5302432424310
623034514440
73525650136
oct1104562170
9347406466
10152233080
1178a27a6a
1242b95a20
132570145c
141630a756
15d571170
hex912e478

152233080 has 64 divisors (see below), whose sum is σ = 459401760. Its totient is φ = 40355328.

The previous prime is 152233069. The next prime is 152233087. The reversal of 152233080 is 80332251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 152233080.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 17094 + ... + 24426.

Almost surely, 2152233080 is an apocalyptic number.

152233080 is a gapful number since it is divisible by the number (10) 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 152233080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229700880).

152233080 is an abundant number, since it is smaller than the sum of its proper divisors (307168680).

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

152233080 is a wasteful number, since it uses less digits than its factorization.

152233080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7520 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 152233080 is about 12338.2770272028. The cubic root of 152233080 is about 533.9529759823.

The spelling of 152233080 in words is "one hundred fifty-two million, two hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6920 7333 10380 14666 20760 21999 29332 36665 43998 58664 73330 87996 109995 146660 175992 219990 293320 439980 879960 1268609 2537218 3805827 5074436 6343045 7611654 10148872 12686090 15223308 19029135 25372180 30446616 38058270 50744360 76116540 152233080