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152253500 = 22537411061
BaseRepresentation
bin10010001001100…
…11010000111100
3101121111021112112
421010303100330
5302434103000
623035153152
73526063520
oct1104632074
9347437475
10152253500
1178a41343
1242ba57b8
132570a839
1416313d80
15d577235
hex913343c

152253500 has 96 divisors (see below), whose sum is σ = 389660544. Its totient is φ = 50880000.

The previous prime is 152253469. The next prime is 152253523. The reversal of 152253500 is 5352251.

It is a super-2 number, since 2×1522535002 = 46362256524500000, 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 31 ways as a sum of consecutive naturals, for example, 142970 + ... + 144030.

It is an arithmetic number, because the mean of its divisors is an integer number (4058964).

Almost surely, 2152253500 is an apocalyptic number.

152253500 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 152253500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194830272).

152253500 is an abundant number, since it is smaller than the sum of its proper divisors (237407044).

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

152253500 is a wasteful number, since it uses less digits than its factorization.

152253500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 152253500 is about 12339.1045055952. The cubic root of 152253500 is about 533.9768490948.

The spelling of 152253500 in words is "one hundred fifty-two million, two hundred fifty-three thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 125 140 164 175 205 250 287 350 410 500 574 700 820 875 1025 1061 1148 1435 1750 2050 2122 2870 3500 4100 4244 5125 5305 5740 7175 7427 10250 10610 14350 14854 20500 21220 26525 28700 29708 35875 37135 43501 53050 71750 74270 87002 106100 132625 143500 148540 174004 185675 217505 265250 304507 371350 435010 530500 609014 742700 870020 928375 1087525 1218028 1522535 1856750 2175050 3045070 3713500 4350100 5437625 6090140 7612675 10875250 15225350 21750500 30450700 38063375 76126750 152253500