Search a number
-
+
22700196288 = 26327211217223
BaseRepresentation
bin10101001001000010…
…011000000111000000
32011121000102110012200
4111021002120013000
5332442222240123
614232303553200
71432350325200
oct251102300700
964530373180
1022700196288
11969973a500
1244962bb800
1321a9c2c813
141154b6a400
158ccd3e143
hex5490981c0

22700196288 has 1134 divisors, whose sum is σ = 92219590008. Its totient is φ = 5308047360.

The previous prime is 22700196247. The next prime is 22700196293. The reversal of 22700196288 is 88269100722.

22700196288 is a `hidden beast` number, since 2 + 2 + 7 + 0 + 0 + 19 + 628 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 986965045 + ... + 986965067.

Almost surely, 222700196288 is an apocalyptic number.

22700196288 is a gapful number since it is divisible by the number (28) 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 22700196288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46109795004).

22700196288 is an abundant number, since it is smaller than the sum of its proper divisors (69519393720).

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

22700196288 is a wasteful number, since it uses less digits than its factorization.

22700196288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 22700196288 in words is "twenty-two billion, seven hundred million, one hundred ninety-six thousand, two hundred eighty-eight".