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23222136 = 23371747173
BaseRepresentation
bin101100010010…
…1011101111000
31121200210210010
41120211131320
521421102021
62145421520
7401246010
oct130453570
947623703
1023222136
1112121153
12793a8a0
134a70c12
143126c40
15208a976
hex1625778

23222136 has 128 divisors (see below), whose sum is σ = 72161280. Its totient is φ = 6076416.

The previous prime is 23222099. The next prime is 23222137. The reversal of 23222136 is 63122232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23222137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134146 + ... + 134318.

It is an arithmetic number, because the mean of its divisors is an integer number (563760).

Almost surely, 223222136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23222136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36080640).

23222136 is an abundant number, since it is smaller than the sum of its proper divisors (48939144).

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

23222136 is a wasteful number, since it uses less digits than its factorization.

23222136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 23222136 is about 4818.9351520849. The cubic root of 23222136 is about 285.2993100512.

Adding to 23222136 its reverse (63122232), we get a palindrome (86344368).

The spelling of 23222136 in words is "twenty-three million, two hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 47 51 56 68 84 94 102 119 136 141 168 173 188 204 238 282 329 346 357 376 408 476 519 564 658 692 714 799 952 987 1038 1128 1211 1316 1384 1428 1598 1974 2076 2397 2422 2632 2856 2941 3196 3633 3948 4152 4794 4844 5593 5882 6392 7266 7896 8131 8823 9588 9688 11186 11764 14532 16262 16779 17646 19176 20587 22372 23528 24393 29064 32524 33558 35292 41174 44744 48786 56917 61761 65048 67116 70584 82348 97572 113834 123522 134232 138227 164696 170751 195144 227668 247044 276454 341502 414681 455336 494088 552908 683004 829362 967589 1105816 1366008 1658724 1935178 2902767 3317448 3870356 5805534 7740712 11611068 23222136