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212884992 = 293246199
BaseRepresentation
bin11001011000001…
…01111000000000
3112211120200022100
430230011320000
5413444304432
633042510400
75163330645
oct1454057000
9484520270
10212884992
11aa193711
125b365400
1335149068
14203b7dcc
1513a5207c
hexcb05e00

212884992 has 60 divisors (see below), whose sum is σ = 614413800. Its totient is φ = 70960128.

The previous prime is 212884981. The next prime is 212884993. The reversal of 212884992 is 299488212.

It is a happy number.

212884992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212884993) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18492 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (10240230).

Almost surely, 2212884992 is an apocalyptic number.

It is an amenable number.

212884992 is an abundant number, since it is smaller than the sum of its proper divisors (401528808).

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

212884992 is an equidigital number, since it uses as much as digits as its factorization.

212884992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46223 (or 46204 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 212884992 is about 14590.5788781666. The cubic root of 212884992 is about 597.1017561793.

The spelling of 212884992 in words is "two hundred twelve million, eight hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 46199 92398 138597 184796 277194 369592 415791 554388 739184 831582 1108776 1478368 1663164 2217552 2956736 3326328 4435104 5913472 6652656 8870208 11826944 13305312 17740416 23653888 26610624 35480832 53221248 70961664 106442496 212884992