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22210023440 = 245111131491499
BaseRepresentation
bin10100101011110100…
…100001000000010000
32010022212002002110202
4110223310201000100
5330441231222230
614111513514332
71414246040633
oct245364410020
963285062422
1022210023440
119467a85380
12437a1129a8
13212c508707
141109a11c1a
1589ecb7a45
hex52bd21010

22210023440 has 160 divisors (see below), whose sum is σ = 57250800000. Its totient is φ = 7945871360.

The previous prime is 22210023427. The next prime is 22210023461. The reversal of 22210023440 is 4432001222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 14815811 + ... + 14817309.

It is an arithmetic number, because the mean of its divisors is an integer number (357817500).

Almost surely, 222210023440 is an apocalyptic number.

22210023440 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 22210023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28625400000).

22210023440 is an abundant number, since it is smaller than the sum of its proper divisors (35040776560).

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

22210023440 is a wasteful number, since it uses less digits than its factorization.

22210023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22210023440 its reverse (4432001222), we get a palindrome (26642024662).

The spelling of 22210023440 in words is "twenty-two billion, two hundred ten million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 149 176 220 226 298 440 452 565 596 745 880 904 1130 1192 1243 1490 1499 1639 1808 2260 2384 2486 2980 2998 3278 4520 4972 5960 5996 6215 6556 7495 8195 9040 9944 11920 11992 12430 13112 14990 16390 16489 16837 19888 23984 24860 26224 29980 32780 32978 33674 49720 59960 65560 65956 67348 82445 84185 99440 119920 131120 131912 134696 164890 168370 169387 185207 223351 263824 269392 329780 336740 338774 370414 446702 659560 673480 677548 740828 846935 893404 926035 1116755 1319120 1346960 1355096 1481656 1693870 1786808 1852070 1863257 2233510 2456861 2710192 2963312 3387740 3573616 3704140 3726514 4467020 4913722 6775480 7408280 7453028 8934040 9316285 9827444 12284305 13550960 14816560 14906056 17868080 18632570 19654888 24568610 25238663 29812112 37265140 39309776 49137220 50477326 74530280 98274440 100954652 126193315 149060560 196548880 201909304 252386630 277625293 403818608 504773260 555250586 1009546520 1110501172 1388126465 2019093040 2221002344 2776252930 4442004688 5552505860 11105011720 22210023440