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212193144 = 23322947127
BaseRepresentation
bin11001010010111…
…00111101111000
3112210021112021100
430221130331320
5413310140034
633020011400
75154416622
oct1451347570
9483245240
10212193144
11a9860939
125b090b60
1334c66197
1420277c12
1513967099
hexca5cf78

212193144 has 24 divisors (see below), whose sum is σ = 574689960. Its totient is φ = 70731024.

The previous prime is 212193097. The next prime is 212193151. The reversal of 212193144 is 441391212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1473492 + ... + 1473635.

It is an arithmetic number, because the mean of its divisors is an integer number (23945415).

Almost surely, 2212193144 is an apocalyptic number.

212193144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212193144 is an abundant number, since it is smaller than the sum of its proper divisors (362496816).

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

212193144 is a wasteful number, since it uses less digits than its factorization.

212193144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947139 (or 2947132 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 212193144 is about 14566.8508607729. The cubic root of 212193144 is about 596.4542203552.

The spelling of 212193144 in words is "two hundred twelve million, one hundred ninety-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2947127 5894254 8841381 11788508 17682762 23577016 26524143 35365524 53048286 70731048 106096572 212193144