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212194008 = 2332133171103
BaseRepresentation
bin11001010010111…
…01001011011000
3112210021120110100
430221131023120
5413310202013
633020015400
75154422265
oct1451351330
9483246410
10212194008
11a9861554
125b091560
1334c666b0
142027826c
1513967473
hexca5d2d8

212194008 has 192 divisors, whose sum is σ = 654151680. Its totient is φ = 61689600.

The previous prime is 212193979. The next prime is 212194009. The reversal of 212194008 is 800491212.

212194008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121940082 = 90052594062208128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212194009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060085 + ... + 2060187.

It is an arithmetic number, because the mean of its divisors is an integer number (3407040).

Almost surely, 2212194008 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 212194008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

212194008 is an abundant number, since it is smaller than the sum of its proper divisors (441957672).

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

212194008 is a wasteful number, since it uses less digits than its factorization.

212194008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212194008 is about 14566.8805171183. The cubic root of 212194008 is about 596.4550298940.

The spelling of 212194008 in words is "two hundred twelve million, one hundred ninety-four thousand, eight".