Search a number
-
+
22137256272 = 2433179111597
BaseRepresentation
bin10100100111011110…
…111011100101010000
32010010210011010200110
4110213132323211100
5330314114200042
614100354121320
71412403400515
oct244736734520
963123133613
1022137256272
11942a9a431a
124359880240
13211a40b511
1411000ad30c
158986e209c
hex5277bb950

22137256272 has 80 divisors (see below), whose sum is σ = 57467250432. Its totient is φ = 7343132160.

The previous prime is 22137256249. The next prime is 22137256279. The reversal of 22137256272 is 27265273122.

It is a self number, because there is not a number n which added to its sum of digits gives 22137256272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22137256279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13860978 + ... + 13862574.

Almost surely, 222137256272 is an apocalyptic number.

It is an amenable number.

22137256272 is an abundant number, since it is smaller than the sum of its proper divisors (35329994160).

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

22137256272 is a wasteful number, since it uses less digits than its factorization.

22137256272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2830 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The spelling of 22137256272 in words is "twenty-two billion, one hundred thirty-seven million, two hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 317 634 911 951 1268 1597 1822 1902 2536 2733 3194 3644 3804 4791 5072 5466 6388 7288 7608 9582 10932 12776 14576 15216 19164 21864 25552 38328 43728 76656 288787 506249 577574 866361 1012498 1155148 1454867 1518747 1732722 2024996 2310296 2909734 3037494 3465444 4049992 4364601 4620592 5819468 6074988 6930888 8099984 8729202 11638936 12149976 13861776 17458404 23277872 24299952 34916808 69833616 461192839 922385678 1383578517 1844771356 2767157034 3689542712 5534314068 7379085424 11068628136 22137256272