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214742232 = 23331758481
BaseRepresentation
bin11001100110010…
…11010011011000
3112222002000222000
430303023103120
5414433222412
633150401000
75215164435
oct1463132330
9488060860
10214742232
11100242021
125bb00160
1335649513
142073cb8c
1513cbc4dc
hexcccb4d8

214742232 has 64 divisors (see below), whose sum is σ = 631605600. Its totient is φ = 67368960.

The previous prime is 214742219. The next prime is 214742263. The reversal of 214742232 is 232247412.

214742232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2147422322 = 92228452408683648, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 214742196 and 214742205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25569 + ... + 32912.

Almost surely, 2214742232 is an apocalyptic number.

It is an amenable number.

214742232 is an abundant number, since it is smaller than the sum of its proper divisors (416863368).

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

214742232 is a wasteful number, since it uses less digits than its factorization.

214742232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58513 (or 58503 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 214742232 is about 14654.0858466163. The cubic root of 214742232 is about 598.8331321702.

Adding to 214742232 its reverse (232247412), we get a palindrome (446989644).

The spelling of 214742232 in words is "two hundred fourteen million, seven hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 58481 116962 175443 233924 350886 467848 526329 701772 994177 1052658 1403544 1578987 1988354 2105316 2982531 3157974 3976708 4210632 5965062 6315948 7953416 8947593 11930124 12631896 17895186 23860248 26842779 35790372 53685558 71580744 107371116 214742232