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133112220 = 22357131247
BaseRepresentation
bin1111110111100…
…10000110011100
3100021110210122020
413323302012130
5233034042340
621113020140
73204302163
oct773620634
9307423566
10133112220
11691581aa
12386b4650
1321768237
14139703da
15ba459d0
hex7ef219c

133112220 has 48 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 34995520.

The previous prime is 133112209. The next prime is 133112249. The reversal of 133112220 is 22211331.

It is a super-2 number, since 2×1331122202 = 35437726226656800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 133112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11364 + ... + 19883.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2133112220 is an apocalyptic number.

133112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133112220 is an abundant number, since it is smaller than the sum of its proper divisors (244863588).

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

133112220 is a wasteful number, since it uses less digits than its factorization.

133112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31330 (or 31328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 133112220 is about 11537.4269228455. The cubic root of 133112220 is about 510.5903966230.

Adding to 133112220 its reverse (22211331), we get a palindrome (155323551).

The spelling of 133112220 in words is "one hundred thirty-three million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 31247 62494 93741 124988 156235 187482 312470 374964 468705 624940 937410 1874820 2218537 4437074 6655611 8874148 11092685 13311222 22185370 26622444 33278055 44370740 66556110 133112220