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214660152 = 23337141971
BaseRepresentation
bin11001100101101…
…11010000111000
3112221220212101000
430302313100320
5414423111102
633144525000
75214403230
oct1462672070
9487825330
10214660152
11100196393
125ba80760
133561b055
142071acc0
1513ca301c
hexccb7438

214660152 has 64 divisors (see below), whose sum is σ = 681465600. Its totient is φ = 61331040.

The previous prime is 214660097. The next prime is 214660153. The reversal of 214660152 is 251066412.

214660152 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 601 + 52 = 666.

214660152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214660153) 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, 69474 + ... + 72497.

It is an arithmetic number, because the mean of its divisors is an integer number (10647900).

Almost surely, 2214660152 is an apocalyptic number.

It is an amenable number.

214660152 is an abundant number, since it is smaller than the sum of its proper divisors (466805448).

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

214660152 is a wasteful number, since it uses less digits than its factorization.

214660152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141993 (or 141983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214660152 is about 14651.2849948392. The cubic root of 214660152 is about 598.7568259762.

The spelling of 214660152 in words is "two hundred fourteen million, six hundred sixty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 141971 283942 425913 567884 851826 993797 1135768 1277739 1703652 1987594 2555478 2981391 3407304 3833217 3975188 5110956 5962782 7666434 7950376 8944173 10221912 11925564 15332868 17888346 23851128 26832519 30665736 35776692 53665038 71553384 107330076 214660152