Search a number
-
+
23225864006640 = 2435583631658147
BaseRepresentation
bin1010100011111101100010…
…10111111010101111110000
310001020101000101201010201010
411101332301113322233300
511021013032141203030
6121221451543110520
74615004363453121
oct521766127725760
9101211011633633
1023225864006640
117445040809a09
1227313b2a42440
13cc626066ca39
145a41d024a048
152a42584dd6b0
hex151fb15fabf0

23225864006640 has 80 divisors (see below), whose sum is σ = 72001455504768. Its totient is φ = 6193453878528.

The previous prime is 23225864006567. The next prime is 23225864006651. The reversal of 23225864006640 is 4660046852232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23225864006640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13178047 + ... + 14836193.

Almost surely, 223225864006640 is an apocalyptic number.

23225864006640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23225864006640 is an abundant number, since it is smaller than the sum of its proper divisors (48775591498128).

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

23225864006640 is a wasteful number, since it uses less digits than its factorization.

23225864006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716526 (or 1716520 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 23225864006640 in words is "twenty-three trillion, two hundred twenty-five billion, eight hundred sixty-four million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 58363 116726 175089 233452 291815 350178 466904 583630 700356 875445 933808 1167260 1400712 1658147 1750890 2334520 2801424 3316294 3501780 4669040 4974441 6632588 7003560 8290735 9948882 13265176 14007120 16581470 19897764 24872205 26530352 33162940 39795528 49744410 66325880 79591056 99488820 132651760 198977640 397955280 96774433361 193548866722 290323300083 387097733444 483872166805 580646600166 774195466888 967744333610 1161293200332 1451616500415 1548390933776 1935488667220 2322586400664 2903233000830 3870977334440 4645172801328 5806466001660 7741954668880 11612932003320 23225864006640