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152105220 = 223253127259
BaseRepresentation
bin10010001000011…
…11000100000100
3101121012202010200
421010033010010
5302414331340
623032050500
73524605311
oct1104170404
9347182120
10152105220
117894a9a3
1242b33a30
13256881b7
14162b5d08
15d548330
hex910f104

152105220 has 72 divisors (see below), whose sum is σ = 476286720. Its totient is φ = 39251520.

The previous prime is 152105179. The next prime is 152105221. The reversal of 152105220 is 22501251.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 152105193 and 152105202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152105221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8050 + ... + 19209.

Almost surely, 2152105220 is an apocalyptic number.

152105220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152105220 is an abundant number, since it is smaller than the sum of its proper divisors (324181500).

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

152105220 is a wasteful number, since it uses less digits than its factorization.

152105220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27305 (or 27300 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 152105220 is about 12333.0945021921. The cubic root of 152105220 is about 533.8034457357.

Adding to 152105220 its reverse (22501251), we get a palindrome (174606471).

The spelling of 152105220 in words is "one hundred fifty-two million, one hundred five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 27259 54518 81777 109036 136295 163554 245331 272590 327108 408885 490662 545180 817770 845029 981324 1226655 1635540 1690058 2453310 2535087 3380116 4225145 4906620 5070174 7605261 8450290 10140348 12675435 15210522 16900580 25350870 30421044 38026305 50701740 76052610 152105220