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22400616432 = 2431313562439
BaseRepresentation
bin10100110111001011…
…100100011111110000
32010211010201012220110
4110313023210133300
5331334024211212
614142442541320
71422052045425
oct246713443760
963733635813
1022400616432
119555622747
124411b07840
13215cb4b02c
141127065d4c
158b18b4a3c
hex5372e47f0

22400616432 has 40 divisors (see below), whose sum is σ = 58310017920. Its totient is φ = 7409871040.

The previous prime is 22400616419. The next prime is 22400616451. The reversal of 22400616432 is 23461600422.

It is a self number, because there is not a number n which added to its sum of digits gives 22400616432.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1774932 + ... + 1787507.

It is an arithmetic number, because the mean of its divisors is an integer number (1457750448).

Almost surely, 222400616432 is an apocalyptic number.

It is an amenable number.

22400616432 is an abundant number, since it is smaller than the sum of its proper divisors (35909401488).

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

22400616432 is a wasteful number, since it uses less digits than its factorization.

22400616432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3562581 (or 3562575 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 22400616432 in words is "twenty-two billion, four hundred million, six hundred sixteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 3562439 7124878 10687317 14249756 21374634 28499512 42749268 56999024 85498536 170997072 466679509 933359018 1400038527 1866718036 2800077054 3733436072 5600154108 7466872144 11200308216 22400616432