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22982436 = 2232172472
BaseRepresentation
bin101011110101…
…0111100100100
31121020121222100
41113222330210
521340414221
62140332100
7366230121
oct127527444
947217870
1022982436
1111a78054
127844030
1349b8a99
1430a3748
15203e926
hex15eaf24

22982436 has 81 divisors (see below), whose sum is σ = 63053809. Its totient is φ = 7056768.

The previous prime is 22982429. The next prime is 22982437. The reversal of 22982436 is 63428922.

The square root of 22982436 is 4794.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17892900 + 5089536 = 4230^2 + 2256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22982436.

It is not an unprimeable number, because it can be changed into a prime (22982437) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 488965 + ... + 489011.

Almost surely, 222982436 is an apocalyptic number.

22982436 is the 4794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22982436

22982436 is an abundant number, since it is smaller than the sum of its proper divisors (40071373).

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

22982436 is a wasteful number, since it uses less digits than its factorization.

22982436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 69 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The cubic root of 22982436 is about 284.3142887101.

Multiplying 22982436 by its sum of digits (36), we get a square (827367696 = 287642).

22982436 divided by its sum of digits (36) gives a square (638401 = 7992).

The spelling of 22982436 in words is "twenty-two million, nine hundred eighty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 289 306 423 564 578 612 799 846 867 1156 1598 1692 1734 2209 2397 2601 3196 3468 4418 4794 5202 6627 7191 8836 9588 10404 13254 13583 14382 19881 26508 27166 28764 37553 39762 40749 54332 75106 79524 81498 112659 122247 150212 162996 225318 244494 337977 450636 488988 638401 675954 1276802 1351908 1915203 2553604 3830406 5745609 7660812 11491218 22982436