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22221298320 = 24351331122901
BaseRepresentation
bin10100101100011111…
…100001101010010000
32010100122021220200220
4110230133201222100
5331002123021240
614112555313040
71414443630204
oct245437415220
963318256626
1022221298320
119473386361
124381a4b780
132131955640
14110b308b04
158a0c935d0
hex52c7e1a90

22221298320 has 160 divisors (see below), whose sum is σ = 74426736384. Its totient is φ = 5452032000.

The previous prime is 22221298313. The next prime is 22221298321. The reversal of 22221298320 is 2389212222.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22221298321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958870 + ... + 981770.

Almost surely, 222221298320 is an apocalyptic number.

22221298320 is a gapful number since it is divisible by the number (20) 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 22221298320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37213368192).

22221298320 is an abundant number, since it is smaller than the sum of its proper divisors (52205438064).

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

22221298320 is a wasteful number, since it uses less digits than its factorization.

22221298320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23241 (or 23235 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 22221298320 in words is "twenty-two billion, two hundred twenty-one million, two hundred ninety-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 311 312 390 520 622 624 780 933 1040 1244 1555 1560 1866 2488 3110 3120 3732 4043 4665 4976 6220 7464 8086 9330 12129 12440 14928 16172 18660 20215 22901 24258 24880 32344 37320 40430 45802 48516 60645 64688 68703 74640 80860 91604 97032 114505 121290 137406 161720 183208 194064 229010 242580 274812 297713 323440 343515 366416 458020 485160 549624 595426 687030 893139 916040 970320 1099248 1190852 1374060 1488565 1786278 1832080 2381704 2748120 2977130 3572556 4465695 4763408 5496240 5954260 7122211 7145112 8931390 11908520 14244422 14290224 17862780 21366633 23817040 28488844 35611055 35725560 42733266 56977688 71222110 71451120 85466532 92588743 106833165 113955376 142444220 170933064 185177486 213666330 277766229 284888440 341866128 370354972 427332660 462943715 555532458 569776880 740709944 854665320 925887430 1111064916 1388831145 1481419888 1709330640 1851774860 2222129832 2777662290 3703549720 4444259664 5555324580 7407099440 11110649160 22221298320