Search a number
-
+
22413600000 = 28325511283
BaseRepresentation
bin10100110111111101…
…000110010100000000
32010212001010212000100
4110313331012110000
5331400340200000
614144025122400
71422300312411
oct246775062400
963761125010
1022413600000
119561990470
124416329400
13216274590c
141128a85808
158b2acba00
hex537f46500

22413600000 has 648 divisors, whose sum is σ = 88429277664. Its totient is φ = 5414400000.

The previous prime is 22413599993. The next prime is 22413600007. The reversal of 22413600000 is 631422.

It is a happy number.

22413600000 is a `hidden beast` number, since 22 + 41 + 3 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22413599993) and next prime (22413600007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413600007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79199859 + ... + 79200141.

Almost surely, 222413600000 is an apocalyptic number.

22413600000 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 22413600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44214638832).

22413600000 is an abundant number, since it is smaller than the sum of its proper divisors (66015677664).

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

22413600000 is an equidigital number, since it uses as much as digits as its factorization.

22413600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 22413600000 in words is "twenty-two billion, four hundred thirteen million, six hundred thousand".