Search a number
-
+
112202223000 = 2335377175253
BaseRepresentation
bin110100001111111000…
…1100000110110011000
3101201121120021111101220
41220133301200312120
53314242232114000
6123313415012040
711051322105450
oct1503761406630
9351546244356
10112202223000
114364825891a
12198b436a020
13a77182933a
14560587cd60
152dba6031a0
hex1a1fc60d98

112202223000 has 256 divisors, whose sum is σ = 405721405440. Its totient is φ = 25284672000.

The previous prime is 112202222947. The next prime is 112202223011. The reversal of 112202223000 is 322202211.

It is a happy number.

It is a super-2 number, since 2×1122022230002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453374 + ... + 1528626.

It is an arithmetic number, because the mean of its divisors is an integer number (1584849240).

Almost surely, 2112202223000 is an apocalyptic number.

112202223000 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 112202223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202860702720).

112202223000 is an abundant number, since it is smaller than the sum of its proper divisors (293519182440).

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

112202223000 is a wasteful number, since it uses less digits than its factorization.

112202223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75355 (or 75341 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 112202223000 its reverse (322202211), we get a palindrome (112524425211).

The spelling of 112202223000 in words is "one hundred twelve billion, two hundred two million, two hundred twenty-three thousand".