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152775220 = 225133715881
BaseRepresentation
bin10010001101100…
…10101000110100
3101122110210012111
421012302220310
5303102301340
623054300404
73533365543
oct1106625064
9348423174
10152775220
1179268314
12431b7704
1325861150
141640c15a
15d62baea
hex91b2a34

152775220 has 48 divisors (see below), whose sum is σ = 354867408. Its totient is φ = 54881280.

The previous prime is 152775199. The next prime is 152775221. The reversal of 152775220 is 22577251.

It can be written as a sum of positive squares in 8 ways, for example, as 7717284 + 145057936 = 2778^2 + 12044^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152775221) 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, 1680 + ... + 17560.

It is an arithmetic number, because the mean of its divisors is an integer number (7393071).

Almost surely, 2152775220 is an apocalyptic number.

152775220 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 152775220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177433704).

152775220 is an abundant number, since it is smaller than the sum of its proper divisors (202092188).

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

152775220 is a wasteful number, since it uses less digits than its factorization.

152775220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15940 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 152775220 is about 12360.2273441875. The cubic root of 152775220 is about 534.5860716517.

The spelling of 152775220 in words is "one hundred fifty-two million, seven hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 15881 31762 63524 79405 158810 206453 317620 412906 587597 825812 1032265 1175194 2064530 2350388 2937985 4129060 5875970 7638761 11751940 15277522 30555044 38193805 76387610 152775220