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212394120 = 23352237937
BaseRepresentation
bin11001010100011…
…10000010001000
3112210122201221220
430222032002020
5413333102440
633024202040
75156214561
oct1452160210
9483581856
10212394120
11a9988934
125b169320
13350067c3
14202cb168
15139a68d0
hexca8e088

212394120 has 64 divisors (see below), whose sum is σ = 640120320. Its totient is φ = 56377344.

The previous prime is 212394031. The next prime is 212394151. The reversal of 212394120 is 21493212.

It is a super-2 number, since 2×2123941202 = 90222524421148800, which contains 22 as substring.

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

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, 22792 + ... + 30728.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2212394120 is an apocalyptic number.

212394120 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 212394120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

212394120 is an abundant number, since it is smaller than the sum of its proper divisors (427726200).

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

212394120 is a wasteful number, since it uses less digits than its factorization.

212394120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 212394120 is about 14573.7476305856. The cubic root of 212394120 is about 596.6424689097.

The spelling of 212394120 in words is "two hundred twelve million, three hundred ninety-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 223 446 669 892 1115 1338 1784 2230 2676 3345 4460 5352 6690 7937 8920 13380 15874 23811 26760 31748 39685 47622 63496 79370 95244 119055 158740 190488 238110 317480 476220 952440 1769951 3539902 5309853 7079804 8849755 10619706 14159608 17699510 21239412 26549265 35399020 42478824 53098530 70798040 106197060 212394120