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22331656464 = 24313433072711
BaseRepresentation
bin10100110011000100…
…100000100100010000
32010122022221200121120
4110303010200210100
5331213401001324
614131540522240
71420253643105
oct246304404420
963568850546
1022331656464
11951a702037
1243b29b0380
13214b784a10
14111bc34aac
158aa7e2179
hex533120910

22331656464 has 160 divisors (see below), whose sum is σ = 63803249664. Its totient is φ = 6687152640.

The previous prime is 22331656439. The next prime is 22331656537. The reversal of 22331656464 is 46465613322.

It is a happy number.

It is a super-2 number, since 2×223316564642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8236069 + ... + 8238779.

Almost surely, 222331656464 is an apocalyptic number.

22331656464 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 22331656464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31901624832).

22331656464 is an abundant number, since it is smaller than the sum of its proper divisors (41471593200).

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

22331656464 is a wasteful number, since it uses less digits than its factorization.

22331656464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3079 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 22331656464 in words is "twenty-two billion, three hundred thirty-one million, six hundred fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 307 312 344 516 559 614 624 688 921 1032 1118 1228 1677 1842 2064 2236 2456 2711 3354 3684 3991 4472 4912 5422 6708 7368 7982 8133 8944 10844 11973 13201 13416 14736 15964 16266 21688 23946 26402 26832 31928 32532 35243 39603 43376 47892 52804 63856 65064 70486 79206 95784 105608 105729 116573 130128 140972 158412 171613 191568 211216 211458 233146 281944 316824 343226 349719 422916 466292 514839 563888 633648 686452 699438 832277 845832 932584 1029678 1372904 1398876 1515449 1664554 1691664 1865168 2059356 2496831 2745808 2797752 3030898 3329108 4118712 4546347 4993662 5595504 6061796 6658216 8237424 9092694 9987324 10819601 12123592 13316432 18185388 19974648 21639202 24247184 32458803 35787911 36370776 39949296 43278404 64917606 71575822 72741552 86556808 107363733 129835212 143151644 173113616 214727466 259670424 286303288 429454932 465242843 519340848 572606576 858909864 930485686 1395728529 1717819728 1860971372 2791457058 3721942744 5582914116 7443885488 11165828232 22331656464