Search a number
-
+
214453152 = 25321939191
BaseRepresentation
bin11001100100001…
…00101110100000
3112221112100102100
430302010232200
5414400000102
633140250400
75212551564
oct1462045640
9487470370
10214453152
11100064911
125b9a0a00
1335577a74
14206a56a4
1513c61a1c
hexcc84ba0

214453152 has 72 divisors (see below), whose sum is σ = 641964960. Its totient is φ = 67720320.

The previous prime is 214453139. The next prime is 214453153. The reversal of 214453152 is 251354412.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (214453153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14124 + ... + 25067.

It is an arithmetic number, because the mean of its divisors is an integer number (8916180).

Almost surely, 2214453152 is an apocalyptic number.

It is an amenable number.

214453152 is an abundant number, since it is smaller than the sum of its proper divisors (427511808).

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

214453152 is a wasteful number, since it uses less digits than its factorization.

214453152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39226 (or 39215 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 214453152 is about 14644.2190641905. The cubic root of 214453152 is about 598.5643006859.

The spelling of 214453152 in words is "two hundred fourteen million, four hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 39191 78382 117573 156764 235146 313528 352719 470292 627056 705438 744629 940584 1254112 1410876 1489258 1881168 2233887 2821752 2978516 3762336 4467774 5643504 5957032 6701661 8935548 11287008 11914064 13403322 17871096 23828128 26806644 35742192 53613288 71484384 107226576 214453152