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22232001440 = 2551161207079
BaseRepresentation
bin10100101101001000…
…010110101110100000
32010101101102200121202
4110231020112232200
5331012343021230
614114020540332
71414633615505
oct245510265640
963341380552
1022232001440
119479426810
1243855516a8
132133c3224c
14110c8d34ac
158a1ba9a45
hex52d216ba0

22232001440 has 96 divisors (see below), whose sum is σ = 58237522560. Its totient is φ = 7951795200.

The previous prime is 22232001377. The next prime is 22232001497. The reversal of 22232001440 is 4410023222.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3821 + ... + 210899.

It is an arithmetic number, because the mean of its divisors is an integer number (606640860).

Almost surely, 222232001440 is an apocalyptic number.

22232001440 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 22232001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29118761280).

22232001440 is an abundant number, since it is smaller than the sum of its proper divisors (36005521120).

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

22232001440 is a wasteful number, since it uses less digits than its factorization.

22232001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207166 (or 207158 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22232001440 its reverse (4410023222), we get a palindrome (26642024662).

The spelling of 22232001440 in words is "twenty-two billion, two hundred thirty-two million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 107360 207079 414158 828316 1035395 1656632 2070790 2277869 3313264 4141580 4555738 6626528 8283160 9111476 11389345 12631819 16566320 18222952 22778690 25263638 33132640 36445904 45557380 50527276 63159095 72891808 91114760 101054552 126318190 138950009 182229520 202109104 252636380 277900018 364459040 404218208 505272760 555800036 694750045 1010545520 1111600072 1389500090 2021091040 2223200144 2779000180 4446400288 5558000360 11116000720 22232001440