Search a number
-
+
22123111422304 = 257197357128111
BaseRepresentation
bin1010000011110111100000…
…01100101001100101100000
32220022221121200011121010101
411001323300030221211200
510344431113011003204
6115015114520112144
74442225216242264
oct501736014514540
986287550147111
1022123111422304
11705a3a4716632
122593735305654
13c4627b529549
14566a9b3820a4
1528571606bea4
hex141ef0329960

22123111422304 has 96 divisors (see below), whose sum is σ = 44637752097792. Its totient is φ = 10789922304000.

The previous prime is 22123111422301. The next prime is 22123111422317. The reversal of 22123111422304 is 40322411132122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123111422301) 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, 786977209 + ... + 787005319.

It is an arithmetic number, because the mean of its divisors is an integer number (464976584352).

Almost surely, 222123111422304 is an apocalyptic number.

It is an amenable number.

22123111422304 is an abundant number, since it is smaller than the sum of its proper divisors (22514640675488).

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

22123111422304 is a wasteful number, since it uses less digits than its factorization.

22123111422304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31860 (or 31852 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 22123111422304 its reverse (40322411132122), we get a palindrome (62445522554426).

The spelling of 22123111422304 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred eleven million, four hundred twenty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 71 97 142 194 284 388 568 776 1136 1552 2272 3104 3571 6887 7142 13774 14284 27548 28111 28568 55096 56222 57136 110192 112444 114272 220384 224888 253541 346387 449776 507082 692774 899552 1014164 1385548 1995881 2028328 2726767 2771096 3991762 4056656 5453534 5542192 7983524 8113312 10907068 11084384 15967048 21814136 24593477 31934096 43628272 49186954 63868192 87256544 98373908 100384381 193600457 196747816 200768762 387200914 393495632 401537524 774401828 786991264 803075048 1548803656 1606150096 3097607312 3212300192 6195214624 7127291051 9737284957 14254582102 19474569914 28509164204 38949139828 57018328408 77898279656 114036656816 155796559312 228073313632 311593118624 691347231947 1382694463894 2765388927788 5530777855576 11061555711152 22123111422304