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214731132 = 223721133199
BaseRepresentation
bin11001100110010…
…00100101111100
3112222001110201220
430303020211330
5414432344012
633150233340
75215120200
oct1463104574
9488043656
10214731132
11100234750
125bab5850
1335644455
1420738b00
1513cb908c
hexccc897c

214731132 has 72 divisors (see below), whose sum is σ = 635846400. Its totient is φ = 55772640.

The previous prime is 214731119. The next prime is 214731137. The reversal of 214731132 is 231137412.

It is a happy number.

214731132 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 2×2147311322 = 92218918100002848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214731137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10132 + ... + 23067.

It is an arithmetic number, because the mean of its divisors is an integer number (8831200).

Almost surely, 2214731132 is an apocalyptic number.

214731132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214731132 is an abundant number, since it is smaller than the sum of its proper divisors (421115268).

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

214731132 is a wasteful number, since it uses less digits than its factorization.

214731132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33231 (or 33222 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 214731132 is about 14653.7071077595. The cubic root of 214731132 is about 598.8228141217.

Adding to 214731132 its reverse (231137412), we get a palindrome (445868544).

The spelling of 214731132 in words is "two hundred fourteen million, seven hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 33199 66398 99597 132796 199194 232393 365189 398388 464786 697179 730378 929572 1095567 1394358 1460756 1626751 2191134 2556323 2788716 3253502 4382268 4880253 5112646 6507004 7668969 9760506 10225292 15337938 17894261 19521012 30675876 35788522 53682783 71577044 107365566 214731132