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22089047440 = 2455310151581
BaseRepresentation
bin10100100100100111…
…000001110110010000
32010000102102212121011
4110210213001312100
5330214244004230
614051512540304
71411246543135
oct244447016620
963012385534
1022089047440
119405767309
1243456b1694
13211042c495
1410d792058c
1589436ce2a
hex5249c1d90

22089047440 has 80 divisors (see below), whose sum is σ = 52845140016. Its totient is φ = 8582912000.

The previous prime is 22089047401. The next prime is 22089047479. The reversal of 22089047440 is 4474098022.

It is an interprime number because it is at equal distance from previous prime (22089047401) and next prime (22089047479).

It can be written as a sum of positive squares in 8 ways, for example, as 10653696 + 22078393744 = 3264^2 + 148588^2 .

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

It is a super-3 number, since 3×220890474403 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22089047393 and 22089047402.

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, 402450 + ... + 454030.

Almost surely, 222089047440 is an apocalyptic number.

22089047440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22089047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422570008).

22089047440 is an abundant number, since it is smaller than the sum of its proper divisors (30756092576).

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

22089047440 is a wasteful number, since it uses less digits than its factorization.

22089047440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51748 (or 51742 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 22089047440 in words is "twenty-two billion, eighty-nine million, forty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 101 106 202 212 265 404 424 505 530 808 848 1010 1060 1616 2020 2120 4040 4240 5353 8080 10706 21412 26765 42824 51581 53530 85648 103162 107060 206324 214120 257905 412648 428240 515810 825296 1031620 2063240 2733793 4126480 5209681 5467586 10419362 10935172 13668965 20838724 21870344 26048405 27337930 41677448 43740688 52096810 54675860 83354896 104193620 109351720 208387240 218703440 276113093 416774480 552226186 1104452372 1380565465 2208904744 2761130930 4417809488 5522261860 11044523720 22089047440