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214428136 = 231313115739
BaseRepresentation
bin11001100011111…
…10100111101000
3112221111002002211
430301332213220
5414343200021
633135534504
75212415626
oct1461764750
9487432084
10214428136
1110004803a
125b98a434
1335569570
142069a516
1513c593e1
hexcc7e9e8

214428136 has 32 divisors (see below), whose sum is σ = 436312800. Its totient is φ = 98205120.

The previous prime is 214428133. The next prime is 214428139. The reversal of 214428136 is 631824412.

It is an interprime number because it is at equal distance from previous prime (214428133) and next prime (214428139).

It is a junction number, because it is equal to n+sod(n) for n = 214428098 and 214428107.

It is not an unprimeable number, because it can be changed into a prime (214428133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5755 + ... + 21493.

It is an arithmetic number, because the mean of its divisors is an integer number (13634775).

Almost surely, 2214428136 is an apocalyptic number.

214428136 is a gapful number since it is divisible by the number (26) 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 214428136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218156400).

214428136 is an abundant number, since it is smaller than the sum of its proper divisors (221884664).

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

214428136 is a wasteful number, since it uses less digits than its factorization.

214428136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889 (or 15885 counting only the distinct ones).

The product of its digits is 9216, while the sum is 31.

The square root of 214428136 is about 14643.3649138441. The cubic root of 214428136 is about 598.5410255686.

The spelling of 214428136 in words is "two hundred fourteen million, four hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 3406 6812 13624 15739 31478 62956 125912 204607 409214 818428 1636856 2061809 4123618 8247236 16494472 26803517 53607034 107214068 214428136