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212232120 = 23359718233
BaseRepresentation
bin11001010011001…
…10011110111000
3112210100111201220
430221212132320
5413312411440
633020512040
75154641352
oct1451463670
9483314656
10212232120
11a9888151
125b0ab620
1334c7ab49
14202880d2
15139738d0
hexca667b8

212232120 has 64 divisors (see below), whose sum is σ = 643295520. Its totient is φ = 56008704.

The previous prime is 212232103. The next prime is 212232127. The reversal of 212232120 is 21232212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212232120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212232127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2524 + ... + 20756.

Almost surely, 2212232120 is an apocalyptic number.

212232120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321647760).

212232120 is an abundant number, since it is smaller than the sum of its proper divisors (431063400).

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

212232120 is a wasteful number, since it uses less digits than its factorization.

212232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18344 (or 18340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212232120 is about 14568.1886313982. The cubic root of 212232120 is about 596.4907373636.

Adding to 212232120 its reverse (21232212), we get a palindrome (233464332).

The spelling of 212232120 in words is "two hundred twelve million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 18233 36466 54699 72932 91165 109398 145864 182330 218796 273495 364660 437592 546990 729320 1093980 1768601 2187960 3537202 5305803 7074404 8843005 10611606 14148808 17686010 21223212 26529015 35372020 42446424 53058030 70744040 106116060 212232120