Search a number
-
+
22122893973372 = 22317239375032043
BaseRepresentation
bin1010000011110111000110…
…01111001001011101111100
32220022221001112000001021020
411001323203033021131330
510344430141324121442
6115015041151304140
74442216636042343
oct501734317113574
986287045001236
1022122893973372
11705a2a29a5a75
12259369451b050
13c4624547303a
14566a7a53ab5a
15285701e179ec
hex141ee33c977c

22122893973372 has 96 divisors (see below), whose sum is σ = 57093812762112. Its totient is φ = 6631667767296.

The previous prime is 22122893973353. The next prime is 22122893973409. The reversal of 22122893973372 is 27337939822122.

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, 1880383 + ... + 6912425.

It is an arithmetic number, because the mean of its divisors is an integer number (594727216272).

Almost surely, 222122893973372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122893973372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28546906381056).

22122893973372 is an abundant number, since it is smaller than the sum of its proper divisors (34970918788740).

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

22122893973372 is a wasteful number, since it uses less digits than its factorization.

22122893973372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033027 (or 5033025 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 60.

The spelling of 22122893973372 in words is "twenty-two trillion, one hundred twenty-two billion, eight hundred ninety-three million, nine hundred seventy-three thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 937 1173 1564 1874 2346 2811 3748 4692 5622 11244 15929 21551 31858 43102 47787 63716 64653 86204 95574 129306 191148 258612 366367 732734 1099101 1465468 2198202 4396404 5032043 10064086 15096129 20128172 30192258 60384516 85544731 115736989 171089462 231473978 256634193 342178924 347210967 462947956 513268386 694421934 1026536772 1388843868 1967528813 3935057626 4715024291 5902586439 7870115252 9430048582 11805172878 14145072873 18860097164 23610345756 28290145746 56580291492 80155412947 108445558693 160310825894 216891117386 240466238841 320621651788 325336676079 433782234772 480932477682 650673352158 961864955364 1301346704316 1843574497781 3687148995562 5530723493343 7374297991124 11061446986686 22122893973372