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22466478080 = 2145416689
BaseRepresentation
bin10100111011000110…
…110100000000000000
32010222201122100002202
4110323012310000000
5332002404244310
614153154332332
71423511625044
oct247306640000
963881570082
1022466478080
119589817562
12442bb8a0a8
13217069b017
141131acc024
158b75743a5
hex53b1b4000

22466478080 has 120 divisors (see below), whose sum is σ = 55241229960. Its totient is φ = 8766095360.

The previous prime is 22466478079. The next prime is 22466478091. The reversal of 22466478080 is 8087466422.

It can be written as a sum of positive squares in 4 ways, for example, as 1099055104 + 21367422976 = 33152^2 + 146176^2 .

It is a congruent number.

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, 3355376 + ... + 3362064.

It is an arithmetic number, because the mean of its divisors is an integer number (460343583).

Almost surely, 222466478080 is an apocalyptic number.

22466478080 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 22466478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27620614980).

22466478080 is an abundant number, since it is smaller than the sum of its proper divisors (32774751880).

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

22466478080 is an frugal number, since it uses more digits than its factorization.

22466478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The spelling of 22466478080 in words is "twenty-two billion, four hundred sixty-six million, four hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1024 1280 1312 1640 2048 2560 2624 3280 4096 5120 5248 6560 6689 8192 10240 10496 13120 13378 16384 20480 20992 26240 26756 33445 40960 41984 52480 53512 66890 81920 83968 104960 107024 133780 167936 209920 214048 267560 274249 335872 419840 428096 535120 548498 671744 839680 856192 1070240 1096996 1371245 1679360 1712384 2140480 2193992 2742490 3358720 3424768 4280960 4387984 5484980 6849536 8561920 8775968 10969960 13699072 17123840 17551936 21939920 27398144 34247680 35103872 43879840 54796288 68495360 70207744 87759680 109592576 136990720 140415488 175519360 273981440 280830976 351038720 547962880 561661952 702077440 1123323904 1404154880 2246647808 2808309760 4493295616 5616619520 11233239040 22466478080