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212814744 = 233192332003
BaseRepresentation
bin11001010111101…
…00101110011000
3112211110002221120
430223310232120
5413440032434
633041205240
75162616102
oct1453645630
9484402846
10212814744
11aa14595a
125b330820
13351230ac
142039a572
1513a3b349
hexcaf4b98

212814744 has 64 divisors (see below), whose sum is σ = 562723200. Its totient is φ = 66882816.

The previous prime is 212814743. The next prime is 212814757. The reversal of 212814744 is 447418212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212814743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105247 + ... + 107249.

It is an arithmetic number, because the mean of its divisors is an integer number (8792550).

Almost surely, 2212814744 is an apocalyptic number.

212814744 is a gapful number since it is divisible by the number (24) 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 212814744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281361600).

212814744 is an abundant number, since it is smaller than the sum of its proper divisors (349908456).

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

212814744 is a wasteful number, since it uses less digits than its factorization.

212814744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2260 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 212814744 is about 14588.1713727252. The cubic root of 212814744 is about 597.0360715448.

The spelling of 212814744 in words is "two hundred twelve million, eight hundred fourteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 233 456 466 699 932 1398 1864 2003 2796 4006 4427 5592 6009 8012 8854 12018 13281 16024 17708 24036 26562 35416 38057 48072 53124 76114 106248 114171 152228 228342 304456 456684 466699 913368 933398 1400097 1866796 2800194 3733592 5600388 8867281 11200776 17734562 26601843 35469124 53203686 70938248 106407372 212814744