Search a number
-
+
22290856000 = 26537439257
BaseRepresentation
bin10100110000101000…
…110111100001000000
32010112111011210220021
4110300220313201000
5331122424343000
614123522223224
71416250102240
oct246050674100
963474153807
1022290856000
1194a9675046
1243a11b4b14
13214319aa2a
141116653b20
158a6e3311a
hex530a37840

22290856000 has 224 divisors, whose sum is σ = 64563662592. Its totient is φ = 7464038400.

The previous prime is 22290855989. The next prime is 22290856033. The reversal of 22290856000 is 65809222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×222908560002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403372 + ... + 2412628.

Almost surely, 222290856000 is an apocalyptic number.

22290856000 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 22290856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281831296).

22290856000 is an abundant number, since it is smaller than the sum of its proper divisors (42272806592).

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

22290856000 is an equidigital number, since it uses as much as digits as its factorization.

22290856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9314 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 22290856000 in words is "twenty-two billion, two hundred ninety million, eight hundred fifty-six thousand".