Search a number
-
+
22505244522432 = 263716744973603
BaseRepresentation
bin1010001110111111010010…
…00110101111011111000000
32221200110222012000102010220
411013133221012233133000
510422211220044204212
6115510433330423040
74511643640063230
oct507375106573700
987613865012126
1022505244522432
117197469905681
122635800a31a80
13c7330a399b89
1457b38c683cc0
1529062e0ee38c
hex1477e91af7c0

22505244522432 has 56 divisors (see below), whose sum is σ = 68051572726656. Its totient is φ = 6430069863168.

The previous prime is 22505244522421. The next prime is 22505244522437. The reversal of 22505244522432 is 23422544250522.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22505244522437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8372485458 + ... + 8372488145.

Almost surely, 222505244522432 is an apocalyptic number.

It is an amenable number.

22505244522432 is an abundant number, since it is smaller than the sum of its proper divisors (45546328204224).

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

22505244522432 is a wasteful number, since it uses less digits than its factorization.

22505244522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16744973625 (or 16744973615 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 42.

Adding to 22505244522432 its reverse (23422544250522), we get a palindrome (45927788772954).

The spelling of 22505244522432 in words is "twenty-two trillion, five hundred five billion, two hundred forty-four million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 16744973603 33489947206 50234920809 66979894412 100469841618 117214815221 133959788824 200939683236 234429630442 267919577648 351644445663 401879366472 468859260884 535839155296 703288891326 803758732944 937718521768 1071678310592 1406577782652 1607517465888 1875437043536 2813155565304 3215034931776 3750874087072 5626311130608 7501748174144 11252622261216 22505244522432