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10228557920 = 255724330341
BaseRepresentation
bin10011000011010101…
…10110100001100000
3222101211211120122112
421201222312201200
5131422002323140
64410545254452
7511321210400
oct114152664140
928354746575
1010228557920
114379832a59
121b95634428
13c70163249
146d065a800
153ecea8c65
hex261ab6860

10228557920 has 144 divisors (see below), whose sum is σ = 28764944208. Its totient is φ = 3425264640.

The previous prime is 10228557919. The next prime is 10228557967. The reversal of 10228557920 is 2975582201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321950 + ... + 352290.

It is an arithmetic number, because the mean of its divisors is an integer number (199756557).

Almost surely, 210228557920 is an apocalyptic number.

10228557920 is a gapful number since it is divisible by the number (10) 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 10228557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382472104).

10228557920 is an abundant number, since it is smaller than the sum of its proper divisors (18536386288).

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

10228557920 is a wasteful number, since it uses less digits than its factorization.

10228557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30413 (or 30398 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 10228557920 in words is "ten billion, two hundred twenty-eight million, five hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 49 56 70 80 86 98 112 140 160 172 196 215 224 245 280 301 344 392 430 490 560 602 688 784 860 980 1120 1204 1376 1505 1568 1720 1960 2107 2408 3010 3440 3920 4214 4816 6020 6880 7840 8428 9632 10535 12040 16856 21070 24080 30341 33712 42140 48160 60682 67424 84280 121364 151705 168560 212387 242728 303410 337120 424774 485456 606820 849548 970912 1061935 1213640 1304663 1486709 1699096 2123870 2427280 2609326 2973418 3398192 4247740 4854560 5218652 5946836 6523315 6796384 7433545 8495480 9132641 10437304 11893672 13046630 14867090 16990960 18265282 20874608 23787344 26093260 29734180 33981920 36530564 41749216 45663205 47574688 52186520 59468360 63928487 73061128 91326410 104373040 118936720 127856974 146122256 182652820 208746080 237873440 255713948 292244512 319642435 365305640 511427896 639284870 730611280 1022855792 1278569740 1461222560 2045711584 2557139480 5114278960 10228557920