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22027091968 = 21471491289
BaseRepresentation
bin10100100000111010…
…101100000000000000
32002212002212012200001
4110200322230000000
5330102413420333
614041421005344
71406565123010
oct244072540000
962762765601
1022027091968
1193837a0242
1243289b3854
13210064943b
1410cd5d3c40
1588dbd0b7d
hex520eac000

22027091968 has 120 divisors (see below), whose sum is σ = 50723316000. Its totient is φ = 9369550848.

The previous prime is 22027091929. The next prime is 22027092029. The reversal of 22027091968 is 86919072022.

It is a super-2 number, since 2×220270919682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17087868 + ... + 17089156.

It is an arithmetic number, because the mean of its divisors is an integer number (422694300).

Almost surely, 222027091968 is an apocalyptic number.

22027091968 is a gapful number since it is divisible by the number (28) 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 22027091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25361658000).

22027091968 is an abundant number, since it is smaller than the sum of its proper divisors (28696224032).

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

22027091968 is an equidigital number, since it uses as much as digits as its factorization.

22027091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 22027091968 in words is "twenty-two billion, twenty-seven million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 256 298 448 512 596 896 1024 1043 1192 1289 1792 2048 2086 2384 2578 3584 4096 4172 4768 5156 7168 8192 8344 9023 9536 10312 14336 16384 16688 18046 19072 20624 28672 33376 36092 38144 41248 57344 66752 72184 76288 82496 114688 133504 144368 152576 164992 192061 267008 288736 305152 329984 384122 534016 577472 610304 659968 768244 1068032 1154944 1220608 1319936 1344427 1536488 2136064 2309888 2441216 2639872 2688854 3072976 4272128 4619776 5279744 5377708 6145952 8544256 9239552 10559488 10755416 12291904 17088512 18479104 21118976 21510832 24583808 36958208 43021664 49167616 73916416 86043328 98335232 147832832 172086656 196670464 344173312 393340928 688346624 786681856 1376693248 1573363712 2753386496 3146727424 5506772992 11013545984 22027091968