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10224007332 = 22371117238287
BaseRepresentation
bin10011000010110010…
…11111100010100100
3222101112021101102020
421201121133202210
5131414321213312
64410303543140
7511234425360
oct114131374244
928345241366
1010224007332
114377205040
121b93bbaab0
13c6c22bba6
146cdbd42a0
153ec8aa78c
hex26165f8a4

10224007332 has 144 divisors (see below), whose sum is σ = 31595870208. Its totient is φ = 2499310080.

The previous prime is 10224007309. The next prime is 10224007361. The reversal of 10224007332 is 23370042201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247893 + ... + 286179.

Almost surely, 210224007332 is an apocalyptic number.

10224007332 is a gapful number since it is divisible by the number (12) 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 10224007332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797935104).

10224007332 is an abundant number, since it is smaller than the sum of its proper divisors (21371862876).

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

10224007332 is a wasteful number, since it uses less digits than its factorization.

10224007332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38346 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 10224007332 its reverse (23370042201), we get a palindrome (33594049533).

The spelling of 10224007332 in words is "ten billion, two hundred twenty-four million, seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 289 308 357 374 462 476 561 578 714 748 867 924 1122 1156 1309 1428 1734 2023 2244 2618 3179 3468 3927 4046 5236 6069 6358 7854 8092 9537 12138 12716 15708 19074 22253 24276 38148 38287 44506 66759 76574 89012 114861 133518 153148 229722 267036 268009 421157 459444 536018 650879 804027 842314 1072036 1263471 1301758 1608054 1684628 1952637 2526942 2603516 2948099 3216108 3905274 4556153 5053884 5896198 7159669 7810548 8844297 9112306 11064943 11792396 13668459 14319338 17688594 18224612 21479007 22129886 27336918 28638676 33194829 35377188 42958014 44259772 50117683 54673836 66389658 77454601 85916028 100235366 121714373 132779316 150353049 154909202 200470732 232363803 243428746 300706098 309818404 365143119 464727606 486857492 601412196 730286238 852000611 929455212 1460572476 1704001222 2556001833 3408002444 5112003666 10224007332