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22155012 = 223311171097
BaseRepresentation
bin101010010000…
…0111100000100
31112200120222000
41110200330010
521132430022
62110505300
7356212605
oct124407404
945616860
1022155012
1111562430
127505230
134789299
142d29dac
151e296ac
hex1520f04

22155012 has 96 divisors (see below), whose sum is σ = 66407040. Its totient is φ = 6312960.

The previous prime is 22155011. The next prime is 22155059. The reversal of 22155012 is 21055122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22155011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19648 + ... + 20744.

It is an arithmetic number, because the mean of its divisors is an integer number (691740).

Almost surely, 222155012 is an apocalyptic number.

22155012 is a gapful number since it is divisible by the number (22) 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 22155012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33203520).

22155012 is an abundant number, since it is smaller than the sum of its proper divisors (44252028).

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

22155012 is a wasteful number, since it uses less digits than its factorization.

22155012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1130 counting only the distinct ones).

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

The square root of 22155012 is about 4706.9110890264. The cubic root of 22155012 is about 280.8604990544.

It can be divided in two parts, 2215 and 5012, that added together give a palindrome (7227).

The spelling of 22155012 in words is "twenty-two million, one hundred fifty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1097 1122 1188 1683 1836 2194 2244 3291 3366 4388 5049 6582 6732 9873 10098 12067 13164 18649 19746 20196 24134 29619 36201 37298 39492 48268 55947 59238 72402 74596 108603 111894 118476 144804 167841 205139 217206 223788 325809 335682 410278 434412 503523 615417 651618 671364 820556 1007046 1230834 1303236 1846251 2014092 2461668 3692502 5538753 7385004 11077506 22155012