Search a number
-
+
214253652 = 2231719167331
BaseRepresentation
bin11001100010101…
…00000001010100
3112221011012202110
430301110001110
5414322104102
633132111020
75211061134
oct1461240124
9487135673
10214253652
11aaa38a38
125b905470
1335508012
1420652ac4
1513c2286c
hexcc54054

214253652 has 96 divisors (see below), whose sum is σ = 562222080. Its totient is φ = 63106560.

The previous prime is 214253651. The next prime is 214253681. The reversal of 214253652 is 256352412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214253651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647127 + ... + 647457.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2214253652 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214253652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281111040).

214253652 is an abundant number, since it is smaller than the sum of its proper divisors (347968428).

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

214253652 is a wasteful number, since it uses less digits than its factorization.

214253652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 214253652 is about 14637.4059177164. The cubic root of 214253652 is about 598.3786336764.

The spelling of 214253652 in words is "two hundred fourteen million, two hundred fifty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 167 204 228 323 331 334 501 646 662 668 969 993 1002 1292 1324 1938 1986 2004 2839 3173 3876 3972 5627 5678 6289 6346 8517 9519 11254 11356 12578 12692 16881 17034 18867 19038 22508 25156 33762 34068 37734 38076 53941 55277 67524 75468 106913 107882 110554 161823 165831 213826 215764 221108 320739 323646 331662 427652 641478 647292 663324 939709 1050263 1282956 1879418 2100526 2819127 3150789 3758836 4201052 5638254 6301578 11276508 12603156 17854471 35708942 53563413 71417884 107126826 214253652