Search a number
-
+
22294661400 = 233352112149229
BaseRepresentation
bin10100110000110111…
…011000100100011000
32010112202100010221000
4110300313120210120
5331124413131100
614124135545000
71416324331554
oct246067304430
963482303830
1022294661400
119500834100
1243a252b160
132143c00b4b
141116d64864
158a7435900
hex530dd8918

22294661400 has 576 divisors, whose sum is σ = 85346100000. Its totient is φ = 5345049600.

The previous prime is 22294661387. The next prime is 22294661413. The reversal of 22294661400 is 416649222.

It is an interprime number because it is at equal distance from previous prime (22294661387) and next prime (22294661413).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97356486 + ... + 97356714.

Almost surely, 222294661400 is an apocalyptic number.

22294661400 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 22294661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42673050000).

22294661400 is an abundant number, since it is smaller than the sum of its proper divisors (63051438600).

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

22294661400 is a wasteful number, since it uses less digits than its factorization.

22294661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22294661400 in words is "twenty-two billion, two hundred ninety-four million, six hundred sixty-one thousand, four hundred".