Search a number
-
+
22363729920 = 212325717333
BaseRepresentation
bin10100110100111110…
…110111000000000000
32010201120022012010100
4110310332313000000
5331300103324140
614135044202400
71421123365530
oct246476670000
963646265110
1022363729920
119536819324
124401699400
1321553046ac
1411221c34c0
158ad52a530
hex534fb7000

22363729920 has 312 divisors, whose sum is σ = 88597263456. Its totient is φ = 5111414784.

The previous prime is 22363729919. The next prime is 22363729943. The reversal of 22363729920 is 2992736322.

22363729920 is a `hidden beast` number, since 2 + 2 + 3 + 637 + 2 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281574 + ... + 1298906.

It is an arithmetic number, because the mean of its divisors is an integer number (283965588).

Almost surely, 222363729920 is an apocalyptic number.

22363729920 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 22363729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44298631728).

22363729920 is an abundant number, since it is smaller than the sum of its proper divisors (66233533536).

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

22363729920 is a wasteful number, since it uses less digits than its factorization.

22363729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17375 (or 17350 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 22363729920 in words is "twenty-two billion, three hundred sixty-three million, seven hundred twenty-nine thousand, nine hundred twenty".