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22400144646 = 2311612197463
BaseRepresentation
bin10100110111001001…
…110001010100000110
32010211002211020201220
4110313021301110012
5331333414112041
614142424501210
71422045042105
oct246711612406
963732736656
1022400144646
119555330240
12441191a806
13215ca14379
141126d8203c
158b181ed66
hex537271506

22400144646 has 96 divisors (see below), whose sum is σ = 50047455744. Its totient is φ = 6628406400.

The previous prime is 22400144633. The next prime is 22400144647. The reversal of 22400144646 is 64644100422.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400144647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48380211 + ... + 48380673.

It is an arithmetic number, because the mean of its divisors is an integer number (521327664).

Almost surely, 222400144646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22400144646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25023727872).

22400144646 is an abundant number, since it is smaller than the sum of its proper divisors (27647311098).

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

22400144646 is a wasteful number, since it uses less digits than its factorization.

22400144646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 22400144646 in words is "twenty-two billion, four hundred million, one hundred forty-four thousand, six hundred forty-six".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 197 366 394 463 591 671 926 1182 1342 1389 2013 2167 2778 3721 4026 4334 5093 6501 7442 10186 11163 12017 13002 15279 22326 24034 28243 30558 36051 40931 56486 72102 81862 84729 91211 122793 132187 169458 182422 245586 264374 273633 310673 396561 547266 621346 733037 793122 932019 1003321 1466074 1722823 1864038 2006642 2199111 3009963 3445646 4398222 5168469 5563871 6019926 8063407 10336938 11127742 16126814 16691613 18951053 24190221 33383226 37902106 48380442 56853159 61202581 113706318 122405162 183607743 339396131 367215486 678792262 1018188393 2036376786 3733357441 7466714882 11200072323 22400144646