Search a number
-
+
112235622000 = 2435319251817
BaseRepresentation
bin110100010000111000…
…0111010111001110000
3101201200220010100012220
41220201300322321300
53314324304401000
6123321010521040
711052206021565
oct1504160727160
9351626110186
10112235622000
114366509aaa7
1219903596180
13a778721468
14560a09486c
152dbd4ee1a0
hex1a21c3ae70

112235622000 has 240 divisors, whose sum is σ = 381901976352. Its totient is φ = 28353715200.

The previous prime is 112235621941. The next prime is 112235622013. The reversal of 112235622000 is 226532211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2140092 + ... + 2191908.

Almost surely, 2112235622000 is an apocalyptic number.

112235622000 is a gapful number since it is divisible by the number (10) 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 112235622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190950988176).

112235622000 is an abundant number, since it is smaller than the sum of its proper divisors (269666354352).

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

112235622000 is a wasteful number, since it uses less digits than its factorization.

112235622000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51881 (or 51846 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 112235622000 in words is "one hundred twelve billion, two hundred thirty-five million, six hundred twenty-two thousand".