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214152024 = 23327732213
BaseRepresentation
bin11001100001110…
…11001101011000
3112220222001100110
430300323031120
5414310331044
633130004320
75210155632
oct1460731530
9486861313
10214152024
11aa979649
125b8766a0
13354a0998
1420627a52
1513c026b9
hexcc3b358

214152024 has 32 divisors (see below), whose sum is σ = 537329520. Its totient is φ = 71124096.

The previous prime is 214152023. The next prime is 214152031. The reversal of 214152024 is 420251412.

214152024 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141520242 = 91722178766593152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214152023) 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, 9459 + ... + 22754.

Almost surely, 2214152024 is an apocalyptic number.

214152024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214152024 is an abundant number, since it is smaller than the sum of its proper divisors (323177496).

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

214152024 is a wasteful number, since it uses less digits than its factorization.

214152024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32499 (or 32495 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 214152024 is about 14633.9339891910. The cubic root of 214152024 is about 598.2840080760.

The spelling of 214152024 in words is "two hundred fourteen million, one hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 277 554 831 1108 1662 2216 3324 6648 32213 64426 96639 128852 193278 257704 386556 773112 8923001 17846002 26769003 35692004 53538006 71384008 107076012 214152024