Search a number
-
+
214702254 = 232132921091
BaseRepresentation
bin11001100110000…
…01100010101110
3112222000000010100
430303001202232
5414430433004
633145451530
75214640044
oct1463014256
9488000110
10214702254
11100214a88
125baa0ba6
1335634270
142072c394
1513cb0739
hexccc18ae

214702254 has 72 divisors (see below), whose sum is σ = 519318072. Its totient is φ = 63725760.

The previous prime is 214702247. The next prime is 214702273. The reversal of 214702254 is 452207412.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 196249 + ... + 197339.

It is an arithmetic number, because the mean of its divisors is an integer number (7212751).

Almost surely, 2214702254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214702254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259659036).

214702254 is an abundant number, since it is smaller than the sum of its proper divisors (304615818).

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

214702254 is a wasteful number, since it uses less digits than its factorization.

214702254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214702254 is about 14652.7217266964. The cubic root of 214702254 is about 598.7959687976.

Adding to 214702254 its reverse (452207412), we get a palindrome (666909666).

The spelling of 214702254 in words is "two hundred fourteen million, seven hundred two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 841 1091 1131 1682 2182 2262 2523 3273 3393 5046 6546 6786 7569 9819 10933 14183 15138 19638 21866 28366 31639 32799 42549 63278 65598 85098 94917 98397 127647 189834 196794 255294 284751 411307 569502 822614 917531 1233921 1835062 2467842 2752593 3701763 5505186 7403526 8257779 11927903 16515558 23855806 35783709 71567418 107351127 214702254