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22429230048 = 2533191366303
BaseRepresentation
bin10100111000111000…
…101110001111100000
32010220010112221102000
4110320320232033200
5331413340330143
614145344124000
71422550211151
oct247070561740
963803487360
1022429230048
11956a796565
12441b606600
132165a58c74
14112ab93928
158b4167bd3
hex538e2e3e0

22429230048 has 96 divisors (see below), whose sum is σ = 68861721600. Its totient is φ = 7082909568.

The previous prime is 22429229969. The next prime is 22429230127. The reversal of 22429230048 is 84003292422.

22429230048 is a `hidden beast` number, since 2 + 24 + 292 + 300 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (22429229969) and next prime (22429230127).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224292300482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22429229994 and 22429230021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666736 + ... + 699567.

It is an arithmetic number, because the mean of its divisors is an integer number (717309600).

Almost surely, 222429230048 is an apocalyptic number.

It is an amenable number.

22429230048 is an abundant number, since it is smaller than the sum of its proper divisors (46432491552).

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

22429230048 is a wasteful number, since it uses less digits than its factorization.

22429230048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366341 (or 1366327 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 22429230048 in words is "twenty-two billion, four hundred twenty-nine million, two hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 1366303 2732606 4098909 5465212 8197818 10930424 12296727 16395636 21860848 24593454 25959757 32791272 36890181 43721696 49186908 51919514 65582544 73780362 77879271 98373816 103839028 131165088 147560724 155758542 196747632 207678056 233637813 295121448 311517084 393495264 415356112 467275626 590242896 623034168 700913439 830712224 934551252 1180485792 1246068336 1401826878 1869102504 2492136672 2803653756 3738205008 5607307512 7476410016 11214615024 22429230048