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22630535040 = 273542127997
BaseRepresentation
bin10101000100111000…
…101000111110000000
32011102011100021221110
4111010320220332000
5332321404110130
614221334523320
71430543242161
oct250470507600
964364307843
1022630535040
11966338aa23
124476b06540
13219867c249
1411497d5768
158c6b7dab0
hex544e28f80

22630535040 has 128 divisors (see below), whose sum is σ = 72308754720. Its totient is φ = 6020259840.

The previous prime is 22630535023. The next prime is 22630535113. The reversal of 22630535040 is 4053503622.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×226305350402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22630534989 and 22630535007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 794322 + ... + 822318.

Almost surely, 222630535040 is an apocalyptic number.

22630535040 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 22630535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36154377360).

22630535040 is an abundant number, since it is smaller than the sum of its proper divisors (49678219680).

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

22630535040 is a wasteful number, since it uses less digits than its factorization.

22630535040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28440 (or 28428 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 22630535040 in words is "twenty-two billion, six hundred thirty million, five hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 421 480 640 842 960 1263 1684 1920 2105 2526 3368 4210 5052 6315 6736 8420 10104 12630 13472 16840 20208 25260 26944 27997 33680 40416 50520 53888 55994 67360 80832 83991 101040 111988 134720 139985 161664 167982 202080 223976 269440 279970 335964 404160 419955 447952 559940 671928 808320 839910 895904 1119880 1343856 1679820 1791808 2239760 2687712 3359640 3583616 4479520 5375424 6719280 8959040 10750848 11786737 13438560 17918080 23573474 26877120 35360211 47146948 53754240 58933685 70720422 94293896 117867370 141440844 176801055 188587792 235734740 282881688 353602110 377175584 471469480 565763376 707204220 754351168 942938960 1131526752 1414408440 1508702336 1885877920 2263053504 2828816880 3771755840 4526107008 5657633760 7543511680 11315267520 22630535040