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22000794024 = 23311217234397
BaseRepresentation
bin10100011111010110…
…010111100110101000
32002210021101010200010
4110133112113212220
5330024200402044
614035041211520
71406125443426
oct243726274650
962707333603
1022000794024
11936a969200
124320030ba0
1320c806c521
1410c9d0a116
1588b738bb9
hex51f5979a8

22000794024 has 96 divisors (see below), whose sum is σ = 60505572960. Its totient is φ = 6661522560.

The previous prime is 22000794019. The next prime is 22000794041. The reversal of 22000794024 is 42049700022.

It is a super-2 number, since 2×220007940242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22000793982 and 22000794000.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5001394 + ... + 5005790.

It is an arithmetic number, because the mean of its divisors is an integer number (630266385).

Almost surely, 222000794024 is an apocalyptic number.

22000794024 is a gapful number since it is divisible by the number (24) 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 22000794024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30252786480).

22000794024 is an abundant number, since it is smaller than the sum of its proper divisors (38504778936).

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

22000794024 is a wasteful number, since it uses less digits than its factorization.

22000794024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 22000794024 in words is "twenty-two billion, seven hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 1723 2904 3446 4397 5169 6892 8794 10338 13191 13784 17588 18953 20676 26382 35176 37906 41352 48367 52764 56859 75812 96734 105528 113718 145101 151624 193468 208483 227436 290202 386936 416966 454872 532037 580404 625449 833932 1064074 1160808 1250898 1596111 1667864 2128148 2501796 3192222 4256296 5003592 6384444 7576031 12768888 15152062 22728093 30304124 45456186 60608248 83336341 90912372 166672682 181824744 250009023 333345364 500018046 666690728 916699751 1000036092 1833399502 2000072184 2750099253 3666799004 5500198506 7333598008 11000397012 22000794024