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212155680 = 253511231747
BaseRepresentation
bin11001010010100…
…11110100100000
3112210012121212210
430221103310200
5413302440210
633015122120
75154202452
oct1451236440
9483177783
10212155680
11a9835780
125b073340
1334c52109
14202682d2
151395ae20
hexca53d20

212155680 has 192 divisors, whose sum is σ = 761177088. Its totient is φ = 49167360.

The previous prime is 212155673. The next prime is 212155693. The reversal of 212155680 is 86551212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120567 + ... + 122313.

It is an arithmetic number, because the mean of its divisors is an integer number (3964464).

Almost surely, 2212155680 is an apocalyptic number.

212155680 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 212155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380588544).

212155680 is an abundant number, since it is smaller than the sum of its proper divisors (549021408).

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

212155680 is a wasteful number, since it uses less digits than its factorization.

212155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 212155680 is about 14565.5648706118. The cubic root of 212155680 is about 596.4191157398.

The spelling of 212155680 in words is "two hundred twelve million, one hundred fifty-five thousand, six hundred eighty".