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4412252196 = 22331123315209
BaseRepresentation
bin1000001101111110…
…11010000000100100
3102101111102122011000
410012333122000210
533014014032241
62005453513300
7214224345012
oct40677320044
912344378130
104412252196
111964668420
12a317a2830
13554162a21
142dbdc78b2
151ac558eb6
hex106fda024

4412252196 has 192 divisors, whose sum is σ = 13444300800. Its totient is φ = 1237420800.

The previous prime is 4412252167. The next prime is 4412252213. The reversal of 4412252196 is 6912522144.

It is a happy number.

4412252196 is a `hidden beast` number, since 4 + 4 + 122 + 521 + 9 + 6 = 666.

It is a super-2 number, since 2×44122521962 = 38935938882213644832, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4412252196.

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, 844440 + ... + 849648.

It is an arithmetic number, because the mean of its divisors is an integer number (70022400).

Almost surely, 24412252196 is an apocalyptic number.

4412252196 is a gapful number since it is divisible by the number (46) 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 4412252196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722150400).

4412252196 is an abundant number, since it is smaller than the sum of its proper divisors (9032048604).

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

4412252196 is a wasteful number, since it uses less digits than its factorization.

4412252196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5287 (or 5279 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4412252196 is about 66424.7860064299. The cubic root of 4412252196 is about 1640.1621141549.

The spelling of 4412252196 in words is "four billion, four hundred twelve million, two hundred fifty-two thousand, one hundred ninety-six".