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214432152 = 233111747779
BaseRepresentation
bin11001100011111…
…11100110011000
3112221111021121120
430301333212120
5414343312102
633140005240
75212433424
oct1461774630
9487437546
10214432152
11100050060
125b990820
133556b33c
142069bb84
1513c5a6bc
hexcc7f998

214432152 has 64 divisors (see below), whose sum is σ = 619228800. Its totient is φ = 61155840.

The previous prime is 214432147. The next prime is 214432159. The reversal of 214432152 is 251234412.

It is a super-2 number, since 2×2144321522 = 91962295622702208, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214432159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402 + ... + 28377.

It is an arithmetic number, because the mean of its divisors is an integer number (9675450).

Almost surely, 2214432152 is an apocalyptic number.

214432152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214432152 is an abundant number, since it is smaller than the sum of its proper divisors (404796648).

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

214432152 is a wasteful number, since it uses less digits than its factorization.

214432152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47816 (or 47812 counting only the distinct ones).

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

The square root of 214432152 is about 14643.5020401542. The cubic root of 214432152 is about 598.5447622140.

Adding to 214432152 its reverse (251234412), we get a palindrome (465666564).

The spelling of 214432152 in words is "two hundred fourteen million, four hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 47779 95558 143337 191116 286674 382232 525569 573348 812243 1051138 1146696 1576707 1624486 2102276 2436729 3153414 3248972 4204552 4873458 6306828 6497944 8934673 9746916 12613656 17869346 19493832 26804019 35738692 53608038 71477384 107216076 214432152