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212934132 = 22326139649
BaseRepresentation
bin11001011000100…
…01110111110100
3112211200011201100
430230101313310
5414002343012
633043530100
75163624135
oct1454216764
9484604640
10212934132
11aa217624
125b389930
1335165538
14203cbc8c
1513a618dc
hexcb11df4

212934132 has 36 divisors (see below), whose sum is σ = 539184100. Its totient is φ = 70854912.

The previous prime is 212934101. The next prime is 212934157. The reversal of 212934132 is 231439212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 204947856 = 2826^2 + 14316^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 212934096 and 212934105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17244 + ... + 26892.

Almost surely, 2212934132 is an apocalyptic number.

It is an amenable number.

212934132 is an abundant number, since it is smaller than the sum of its proper divisors (326249968).

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

212934132 is a wasteful number, since it uses less digits than its factorization.

212934132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10272 (or 10267 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 212934132 is about 14592.2627443450. The cubic root of 212934132 is about 597.1476954174.

It can be divided in two parts, 21293 and 4132, that added together give a triangular number (25425 = T225).

The spelling of 212934132 in words is "two hundred twelve million, nine hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 613 1226 1839 2452 3678 5517 7356 9649 11034 19298 22068 28947 38596 57894 86841 115788 173682 347364 5914837 11829674 17744511 23659348 35489022 53233533 70978044 106467066 212934132