Search a number
-
+
22223633040 = 243557197829
BaseRepresentation
bin10100101100101000…
…011011101010010000
32010100210200112100000
4110230220123222100
5331003222224130
614113121330000
71414502523030
oct245450335220
963323615300
1022223633040
119474730484
124382796900
13213229222b
14110b7558c0
158a10a5260
hex52ca1ba90

22223633040 has 480 divisors, whose sum is σ = 89011802880. Its totient is φ = 5047805952.

The previous prime is 22223633023. The next prime is 22223633051. The reversal of 22223633040 is 4033632222.

22223633040 is a `hidden beast` number, since 2 + 2 + 2 + 23 + 633 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22223632995 and 22223633013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26807346 + ... + 26808174.

It is an arithmetic number, because the mean of its divisors is an integer number (185441256).

Almost surely, 222223633040 is an apocalyptic number.

22223633040 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 22223633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44505901440).

22223633040 is an abundant number, since it is smaller than the sum of its proper divisors (66788169840).

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

22223633040 is a wasteful number, since it uses less digits than its factorization.

22223633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The spelling of 22223633040 in words is "twenty-two billion, two hundred twenty-three million, six hundred thirty-three thousand, forty".