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22301212320 = 2532515486953
BaseRepresentation
bin10100110001010000…
…010111111010100000
32010120012122222002200
4110301100113322200
5331133102243240
614124532213200
71416434114502
oct246120277240
963505588080
1022301212320
1195044a8992
1243a476a200
13214538582a
141117b8bd72
158a7ccb930
hex531417ea0

22301212320 has 72 divisors (see below), whose sum is σ = 76102891956. Its totient is φ = 5946989568.

The previous prime is 22301212303. The next prime is 22301212337. The reversal of 22301212320 is 2321210322.

22301212320 is a `hidden beast` number, since 22 + 301 + 21 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (22301212303) and next prime (22301212337).

It can be written as a sum of positive squares in 2 ways, for example, as 22216498704 + 84713616 = 149052^2 + 9204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22301212293 and 22301212302.

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, 7742037 + ... + 7744916.

Almost surely, 222301212320 is an apocalyptic number.

22301212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22301212320 is an abundant number, since it is smaller than the sum of its proper divisors (53801679636).

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

22301212320 is a wasteful number, since it uses less digits than its factorization.

22301212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486974 (or 15486963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22301212320 its reverse (2321210322), we get a palindrome (24622422642).

The spelling of 22301212320 in words is "twenty-two billion, three hundred one million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 15486953 30973906 46460859 61947812 77434765 92921718 123895624 139382577 154869530 185843436 232304295 247791248 278765154 309739060 371686872 464608590 495582496 557530308 619478120 696912885 743373744 929217180 1115060616 1238956240 1393825770 1486747488 1858434360 2230121232 2477912480 2787651540 3716868720 4460242464 5575303080 7433737440 11150606160 22301212320