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12227647640 = 2351361397971
BaseRepresentation
bin10110110001101001…
…10001100010011000
31011120011110212012112
423120310301202120
5200020234211030
65341200531452
7612004201325
oct133064614230
934504425175
1012227647640
11520520871a
122453020b88
1311cb37c180
1483dd59b4c
154b873ba95
hex2d8d31898

12227647640 has 128 divisors (see below), whose sum is σ = 30221190720. Its totient is φ = 4425062400.

The previous prime is 12227647567. The next prime is 12227647651. The reversal of 12227647640 is 4674672221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12592355 + ... + 12593325.

Almost surely, 212227647640 is an apocalyptic number.

12227647640 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 12227647640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110595360).

12227647640 is an abundant number, since it is smaller than the sum of its proper divisors (17993543080).

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

12227647640 is a wasteful number, since it uses less digits than its factorization.

12227647640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 12227647640 in words is "twelve billion, two hundred twenty-seven million, six hundred forty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 397 488 520 610 793 794 971 1220 1586 1588 1942 1985 2440 3172 3176 3884 3965 3970 4855 5161 6344 7768 7930 7940 9710 10322 12623 15860 15880 19420 20644 24217 25246 25805 31720 38840 41288 48434 50492 51610 59231 63115 96868 100984 103220 118462 121085 126230 193736 206440 236924 242170 252460 296155 314821 385487 473848 484340 504920 592310 629642 770003 770974 968680 1184620 1259284 1540006 1541948 1574105 1927435 2369240 2518568 3080012 3083896 3148210 3850015 3854870 5011331 6160024 6296420 7700030 7709740 10022662 12592840 15400060 15419480 20045324 23514707 25056655 30800120 40090648 47029414 50113310 94058828 100226620 117573535 188117656 200453240 235147070 305691191 470294140 611382382 940588280 1222764764 1528455955 2445529528 3056911910 6113823820 12227647640