Search a number
-
+
22044419920 = 24523311632371
BaseRepresentation
bin10100100001111100…
…110010011101010000
32002220022110120011001
4110201330302131100
5330121332414140
614043240231344
71410165322555
oct244174623520
962808416131
1022044419920
119392555a66
12433276b554
132104105573
1410d1a24a2c
158904a4e9a
hex521f32750

22044419920 has 160 divisors (see below), whose sum is σ = 55569014784. Its totient is φ = 8108812800.

The previous prime is 22044419909. The next prime is 22044419953. The reversal of 22044419920 is 2991444022.

It is a self number, because there is not a number n which added to its sum of digits gives 22044419920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9296335 + ... + 9298705.

Almost surely, 222044419920 is an apocalyptic number.

22044419920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22044419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27784507392).

22044419920 is an abundant number, since it is smaller than the sum of its proper divisors (33524594864).

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

22044419920 is a wasteful number, since it uses less digits than its factorization.

22044419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 22044419920 in words is "twenty-two billion, forty-four million, four hundred nineteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 163 184 230 248 310 326 368 460 496 620 652 713 815 920 1240 1304 1426 1630 1840 2371 2480 2608 2852 3260 3565 3749 4742 5053 5704 6520 7130 7498 9484 10106 11408 11855 13040 14260 14996 18745 18968 20212 23710 25265 28520 29992 37490 37936 40424 47420 50530 54533 57040 59984 73501 74980 80848 94840 101060 109066 116219 147002 149960 189680 202120 218132 232438 272665 294004 299920 367505 386473 404240 436264 464876 545330 581095 588008 735010 772946 872528 929752 1090660 1162190 1176016 1470020 1545892 1690523 1859504 1932365 2181320 2324380 2940040 3091784 3381046 3864730 4362640 4648760 5880080 6183568 6762092 7729460 8452615 8888879 9297520 11980663 13524184 15458920 16905230 17777758 23961326 27048368 30917840 33810460 35555516 44444395 47922652 59903315 67620920 71111032 88888790 95845304 119806630 135241840 142222064 177777580 191690608 239613260 275555249 355555160 479226520 551110498 711110320 958453040 1102220996 1377776245 2204441992 2755552490 4408883984 5511104980 11022209960 22044419920