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22444669440 = 29325974161
BaseRepresentation
bin10100111001110011…
…100111101000000000
32010221012121100021100
4110321303213220000
5331431313410230
614151055054400
71423125354024
oct247163475000
963835540240
1022444669440
119578481396
124424811400
1321690035bb
14112cc52384
158b56b7660
hex539ce7a00

22444669440 has 120 divisors (see below), whose sum is σ = 77732282628. Its totient is φ = 5985239040.

The previous prime is 22444669427. The next prime is 22444669459. The reversal of 22444669440 is 4496644422.

22444669440 is a `hidden beast` number, since 22 + 44 + 466 + 94 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22384947456 + 59721984 = 149616^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464041 + ... + 510120.

Almost surely, 222444669440 is an apocalyptic number.

22444669440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22444669440 is an abundant number, since it is smaller than the sum of its proper divisors (55287613188).

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

22444669440 is an equidigital number, since it uses as much as digits as its factorization.

22444669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974190 (or 974171 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 22444669440 in words is "twenty-two billion, four hundred forty-four million, six hundred sixty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 974161 1948322 2922483 3896644 4870805 5844966 7793288 8767449 9741610 11689932 14612415 15586576 17534898 19483220 23379864 29224830 31173152 35069796 38966440 43837245 46759728 58449660 62346304 70139592 77932880 87674490 93519456 116899320 124692608 140279184 155865760 175348980 187038912 233798640 249385216 280558368 311731520 350697960 374077824 467597280 498770432 561116736 623463040 701395920 748155648 935194560 1122233472 1246926080 1402791840 1496311296 1870389120 2244466944 2493852160 2805583680 3740778240 4488933888 5611167360 7481556480 11222334720 22444669440