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10004214220 = 22571113499711
BaseRepresentation
bin10010101000100110…
…00011000111001100
3221211012200201221121
421110103003013030
5130442034323340
64332413010324
7502625263210
oct112423030714
927735621847
1010004214220
114274133240
121b324839a4
13c358346b0
146ac93c940
153d844194a
hex2544c31cc

10004214220 has 96 divisors (see below), whose sum is σ = 28207742976. Its totient is φ = 2878329600.

The previous prime is 10004214169. The next prime is 10004214223. The reversal of 10004214220 is 2241240001.

It is a junction number, because it is equal to n+sod(n) for n = 10004214194 and 10004214203.

It is not an unprimeable number, because it can be changed into a prime (10004214223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229836 + ... + 269875.

It is an arithmetic number, because the mean of its divisors is an integer number (293830656).

Almost surely, 210004214220 is an apocalyptic number.

10004214220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004214220 is an abundant number, since it is smaller than the sum of its proper divisors (18203528756).

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

10004214220 is a wasteful number, since it uses less digits than its factorization.

10004214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499751 (or 499749 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10004214220 its reverse (2241240001), we get a palindrome (12245454221).

The spelling of 10004214220 in words is "ten billion, four million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 499711 999422 1998844 2498555 3497977 4997110 5496821 6496243 6995954 9994220 10993642 12992486 13991908 17489885 21987284 25984972 27484105 32481215 34979770 38477747 45473701 54968210 64962430 69959540 71458673 76955494 90947402 109936420 129924860 142917346 153910988 181894804 192388735 227368505 285834692 357293365 384777470 454737010 500210711 714586730 769554940 909474020 1000421422 1429173460 2000842844 2501053555 5002107110 10004214220