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212152116 = 2231110115913
BaseRepresentation
bin11001010010100…
…10111100110100
3112210012102222210
430221102330310
5413302331431
633015053420
75154156201
oct1451227464
9483172883
10212152116
11a9833030
125b071270
1334c505c7
1420266ca8
1513959d46
hexca52f34

212152116 has 48 divisors (see below), whose sum is σ = 545404608. Its totient is φ = 63648000.

The previous prime is 212152099. The next prime is 212152159. The reversal of 212152116 is 611251212.

212152116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212152092 and 212152101.

It is a congruent number.

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, 5376 + ... + 21288.

It is an arithmetic number, because the mean of its divisors is an integer number (11362596).

Almost surely, 2212152116 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 212152116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272702304).

212152116 is an abundant number, since it is smaller than the sum of its proper divisors (333252492).

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

212152116 is a wasteful number, since it uses less digits than its factorization.

212152116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16032 (or 16030 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 212152116 is about 14565.4425267480. The cubic root of 212152116 is about 596.4157759759.

The spelling of 212152116 in words is "two hundred twelve million, one hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 15913 31826 47739 63652 95478 175043 190956 350086 525129 700172 1050258 1607213 2100516 3214426 4821639 6428852 9643278 17679343 19286556 35358686 53038029 70717372 106076058 212152116