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22148296704 = 212323119381
BaseRepresentation
bin10100101000001001…
…000011000000000000
32010011112221001022100
4110220021003000000
5330324430443304
614101430510400
71412566262412
oct245011030000
963145831270
1022148296704
119436155146
124361505400
13211c7a5811
1411017449b2
15899673439
hex528243000

22148296704 has 156 divisors (see below), whose sum is σ = 66043312192. Its totient is φ = 7144243200.

The previous prime is 22148296661. The next prime is 22148296757. The reversal of 22148296704 is 40769284122.

It is a self number, because there is not a number n which added to its sum of digits gives 22148296704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1133094 + ... + 1152474.

Almost surely, 222148296704 is an apocalyptic number.

22148296704 is a gapful number since it is divisible by the number (24) 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 22148296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33021656096).

22148296704 is an abundant number, since it is smaller than the sum of its proper divisors (43895015488).

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

22148296704 is a wasteful number, since it uses less digits than its factorization.

22148296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442 (or 19417 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22148296704 in words is "twenty-two billion, one hundred forty-eight million, two hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2048 2232 2304 2976 3072 3968 4096 4464 4608 5952 6144 7936 8928 9216 11904 12288 15872 17856 18432 19381 23808 31744 35712 36864 38762 47616 58143 63488 71424 77524 95232 116286 126976 142848 155048 174429 190464 232572 285696 310096 348858 380928 465144 571392 600811 620192 697716 930288 1142784 1201622 1240384 1395432 1802433 1860576 2403244 2480768 2790864 3604866 3721152 4806488 4961536 5407299 5581728 7209732 7442304 9612976 9923072 10814598 11163456 14419464 14884608 19225952 19846144 21629196 22326912 28838928 29769216 38451904 39692288 43258392 44653824 57677856 59538432 76903808 79384576 86516784 89307648 115355712 119076864 153807616 173033568 178615296 230711424 238153728 307615232 346067136 357230592 461422848 615230464 692134272 714461184 922845696 1230460928 1384268544 1845691392 2460921856 2768537088 3691382784 5537074176 7382765568 11074148352 22148296704