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152334100 = 22522952529
BaseRepresentation
bin10010001010001…
…10111100010100
3101121122101002201
421011012330110
5302444142400
623041014244
73526550512
oct1105067424
9347571081
10152334100
1178a96956
1243024384
1325738429
14163354b2
15d59106a
hex9146f14

152334100 has 36 divisors (see below), whose sum is σ = 341970300. Its totient is φ = 58831360.

The previous prime is 152334073. The next prime is 152334107. The reversal of 152334100 is 1433251.

It can be written as a sum of positive squares in 6 ways, for example, as 27520516 + 124813584 = 5246^2 + 11172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152334107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23365 + ... + 29164.

It is an arithmetic number, because the mean of its divisors is an integer number (9499175).

Almost surely, 2152334100 is an apocalyptic number.

152334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152334100 is an abundant number, since it is smaller than the sum of its proper divisors (189636200).

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

152334100 is a wasteful number, since it uses less digits than its factorization.

152334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52572 (or 52565 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 152334100 is about 12342.3701127458. The cubic root of 152334100 is about 534.0710580767.

Adding to 152334100 its reverse (1433251), we get a palindrome (153767351).

The spelling of 152334100 in words is "one hundred fifty-two million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 52529 105058 210116 262645 525290 1050580 1313225 1523341 2626450 3046682 5252900 6093364 7616705 15233410 30466820 38083525 76167050 152334100