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22196083857984 = 26321963032
BaseRepresentation
bin1010000101111111011011…
…01100011001101001000000
32220120220222020200102012100
411002333231230121221000
510402130034431423414
6115112423512430400
74450420435562211
oct502775554315100
986526866612170
1022196083857984
117088340761613
1225a58bb6a8400
13c5010a726c7a
1456a420a67408
152875875c9609
hex142fedb19a40

22196083857984 has 63 divisors (see below), whose sum is σ = 63621390850563. Its totient is φ = 7398656929152.

The previous prime is 22196083857979. The next prime is 22196083857989. The reversal of 22196083857984 is 48975838069122.

The square root of 22196083857984 is 4711272.

It is a perfect power (a square), and thus also a powerful number.

22196083857984 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 608 + 3 + 8 + 5 + 7 + 9 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22196083857979) and next prime (22196083857989).

It is a super-2 number, since 2×221960838579842 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (22196083857989) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112972377 + ... + 113168679.

It is a 1-persistent number, because it is pandigital, but 2⋅22196083857984 = 44392167715968 is not.

Almost surely, 222196083857984 is an apocalyptic number.

22196083857984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22196083857984 is the 4711272-nd square number.

It is an amenable number.

22196083857984 is an abundant number, since it is smaller than the sum of its proper divisors (41425306992579).

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

22196083857984 is an frugal number, since it uses more digits than its factorization.

22196083857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392624 (or 196308 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 22196083857984 in words is "twenty-two trillion, one hundred ninety-six billion, eighty-three million, eight hundred fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 196303 392606 588909 785212 1177818 1570424 1766727 2355636 3140848 3533454 4711272 6281696 7066908 9422544 12563392 14133816 18845088 28267632 37690176 56535264 113070528 38534867809 77069735618 115604603427 154139471236 231209206854 308278942472 346813810281 462418413708 616557884944 693627620562 924836827416 1233115769888 1387255241124 1849673654832 2466231539776 2774510482248 3699347309664 5549020964496 7398694619328 11098041928992 22196083857984