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212161332 = 223295311503
BaseRepresentation
bin11001010010101…
…01001100110100
3112210012220122010
430221111030310
5413303130312
633015204220
75154225105
oct1451251464
9483186563
10212161332
11a9839a49
125b076670
1334c54866
142026a3ac
151395c93c
hexca55334

212161332 has 48 divisors (see below), whose sum is σ = 521821440. Its totient is φ = 66987648.

The previous prime is 212161321. The next prime is 212161333. The reversal of 212161332 is 233161212.

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 = 212161299 and 212161308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212161333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12693 + ... + 24195.

It is an arithmetic number, because the mean of its divisors is an integer number (10871280).

Almost surely, 2212161332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212161332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260910720).

212161332 is an abundant number, since it is smaller than the sum of its proper divisors (309660108).

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

212161332 is a wasteful number, since it uses less digits than its factorization.

212161332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11592 (or 11590 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 212161332 is about 14565.7588885715. The cubic root of 212161332 is about 596.4244120563.

The spelling of 212161332 in words is "two hundred twelve million, one hundred sixty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 9222 11503 18444 23006 34509 46012 69018 138036 333587 609659 667174 1000761 1219318 1334348 1828977 2001522 2438636 3657954 4003044 7315908 17680111 35360222 53040333 70720444 106080666 212161332