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212293032 = 23371399091
BaseRepresentation
bin11001010011101…
…01010110101000
3112210110121021220
430221311112220
5413321334112
633022102040
75155314060
oct1451652650
9483417256
10212293032
11a9919996
125b11a920
1334c9c7a3
14202a23a0
151398698c
hexca755a8

212293032 has 64 divisors (see below), whose sum is σ = 610982400. Its totient is φ = 60212160.

The previous prime is 212293019. The next prime is 212293049. The reversal of 212293032 is 230392212.

212293032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 212292993 and 212293011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18807 + ... + 27897.

It is an arithmetic number, because the mean of its divisors is an integer number (9546600).

Almost surely, 2212293032 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 212293032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305491200).

212293032 is an abundant number, since it is smaller than the sum of its proper divisors (398689368).

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

212293032 is a wasteful number, since it uses less digits than its factorization.

212293032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9246 (or 9242 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 212293032 is about 14570.2790639027. The cubic root of 212293032 is about 596.5477974799.

The spelling of 212293032 in words is "two hundred twelve million, two hundred ninety-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2919 3336 3892 5838 7784 9091 11676 18182 23352 27273 36364 54546 63637 72728 109092 127274 190911 218184 254548 381822 509096 763644 1263649 1527288 2527298 3790947 5054596 7581894 8845543 10109192 15163788 17691086 26536629 30327576 35382172 53073258 70764344 106146516 212293032