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212013252 = 223211535387
BaseRepresentation
bin11001010001100…
…01000011000100
3112202221101111200
430220301003010
5413233411002
633012102500
75153040303
oct1450610304
9482841450
10212013252
11a9748770
125b004a30
1334c02339
142022c43a
151392db1c
hexca310c4

212013252 has 36 divisors (see below), whose sum is σ = 584643696. Its totient is φ = 64246320.

The previous prime is 212013251. The next prime is 212013257. The reversal of 212013252 is 252310212.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212013251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267298 + ... + 268089.

Almost surely, 2212013252 is an apocalyptic number.

212013252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212013252 is an abundant number, since it is smaller than the sum of its proper divisors (372630444).

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

212013252 is a wasteful number, since it uses less digits than its factorization.

212013252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535408 (or 535403 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 212013252 is about 14560.6748469980. The cubic root of 212013252 is about 596.2856197488.

Adding to 212013252 its reverse (252310212), we get a palindrome (464323464).

The spelling of 212013252 in words is "two hundred twelve million, thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 535387 1070774 1606161 2141548 3212322 4818483 5889257 6424644 9636966 11778514 17667771 19273932 23557028 35335542 53003313 70671084 106006626 212013252