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214214352 = 24311405709
BaseRepresentation
bin11001100010010…
…10011011010000
3112221002012211220
430301022123100
5414314324402
633131205040
75210535432
oct1461123320
9487065756
10214214352
11aaa11460
125b8a6780
13354c3171
1420642652
1513c15dbc
hexcc4a6d0

214214352 has 40 divisors (see below), whose sum is σ = 603696480. Its totient is φ = 64913280.

The previous prime is 214214333. The next prime is 214214359. The reversal of 214214352 is 253412412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214214359) 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, 202327 + ... + 203382.

It is an arithmetic number, because the mean of its divisors is an integer number (15092412).

Almost surely, 2214214352 is an apocalyptic number.

214214352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214214352 is an abundant number, since it is smaller than the sum of its proper divisors (389482128).

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

214214352 is a wasteful number, since it uses less digits than its factorization.

214214352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405731 (or 405725 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 214214352 is about 14636.0634051647. The cubic root of 214214352 is about 598.3420450845.

Adding to 214214352 its reverse (253412412), we get a palindrome (467626764).

The spelling of 214214352 in words is "two hundred fourteen million, two hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 405709 811418 1217127 1622836 2434254 3245672 4462799 4868508 6491344 8925598 9737016 13388397 17851196 19474032 26776794 35702392 53553588 71404784 107107176 214214352