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22740043644 = 223229174112511
BaseRepresentation
bin10101001011011010…
…011000011101111100
32011200210101220111200
4111023122120131330
5333032422344034
614240250015500
71433343116223
oct251332303574
964623356450
1022740043644
11970a1863aa
1244a7717590
1321b5271a36
14115a17dcba
158d15b0a99
hex54b69877c

22740043644 has 72 divisors (see below), whose sum is σ = 59502817920. Its totient is φ = 7313846400.

The previous prime is 22740043643. The next prime is 22740043663. The reversal of 22740043644 is 44634004722.

22740043644 = T39587 + T39588 + ... + T39615.

22740043644 is a `hidden beast` number, since 2 + 2 + 7 + 4 + 0 + 0 + 4 + 3 + 644 = 666.

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 = 22740043599 and 22740043608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22740043643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1811349 + ... + 1823859.

Almost surely, 222740043644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22740043644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29751408960).

22740043644 is an abundant number, since it is smaller than the sum of its proper divisors (36762774276).

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

22740043644 is a wasteful number, since it uses less digits than its factorization.

22740043644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14291 (or 14286 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 22740043644 in words is "twenty-two billion, seven hundred forty million, forty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1741 3482 5223 6964 10446 12511 15669 20892 25022 31338 37533 50044 50489 62676 75066 100978 112599 150132 151467 201956 225198 302934 362819 450396 454401 605868 725638 908802 1088457 1451276 1817604 2176914 3265371 4353828 6530742 13061484 21781651 43563302 65344953 87126604 130689906 196034859 261379812 392069718 631667879 784139436 1263335758 1895003637 2526671516 3790007274 5685010911 7580014548 11370021822 22740043644