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212838372 = 223247125791
BaseRepresentation
bin11001010111110…
…10011111100100
3112211111022100200
430223322133210
5413441311442
633041510500
75163045015
oct1453723744
9484438320
10212838372
11aa16168a
125b342430
1335130a86
14203a500c
1513a4334c
hexcafa7e4

212838372 has 36 divisors (see below), whose sum is σ = 549459456. Its totient is φ = 69436080.

The previous prime is 212838371. The next prime is 212838377. The reversal of 212838372 is 273838212.

It is a happy number.

212838372 is a `hidden beast` number, since 2 + 1 + 283 + 8 + 372 = 666.

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

It is a super-2 number, since 2×2128383722 = 90600345191220768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212838371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61204 + ... + 64587.

Almost surely, 2212838372 is an apocalyptic number.

It is an amenable number.

212838372 is an abundant number, since it is smaller than the sum of its proper divisors (336621084).

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

212838372 is a wasteful number, since it uses less digits than its factorization.

212838372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125848 (or 125843 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 212838372 is about 14588.9811844419. The cubic root of 212838372 is about 597.0581662643.

The spelling of 212838372 in words is "two hundred twelve million, eight hundred thirty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1692 125791 251582 377373 503164 754746 1132119 1509492 2264238 4528476 5912177 11824354 17736531 23648708 35473062 53209593 70946124 106419186 212838372