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212890744 = 231119157811
BaseRepresentation
bin11001011000001…
…11010001111000
3112211120222012101
430230013101320
5414000000434
633042553144
75163353503
oct1454072170
9484528171
10212890744
11aa197a70
125b3687b4
133514b871
14203ba13a
1513a53b14
hexcb07478

212890744 has 64 divisors (see below), whose sum is σ = 461865600. Its totient is φ = 90979200.

The previous prime is 212890723. The next prime is 212890747. The reversal of 212890744 is 447098212.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212890747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262099 + ... + 262909.

It is an arithmetic number, because the mean of its divisors is an integer number (7216650).

Almost surely, 2212890744 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 212890744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230932800).

212890744 is an abundant number, since it is smaller than the sum of its proper divisors (248974856).

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

212890744 is a wasteful number, since it uses less digits than its factorization.

212890744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 212890744 is about 14590.7759903303. The cubic root of 212890744 is about 597.1071338848.

The spelling of 212890744 in words is "two hundred twelve million, eight hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 157 209 314 418 628 811 836 1256 1622 1672 1727 2983 3244 3454 5966 6488 6908 8921 11932 13816 15409 17842 23864 30818 32813 35684 61636 65626 71368 123272 127327 131252 169499 254654 262504 338998 509308 677996 1018616 1355992 1400597 2419213 2801194 4838426 5602388 9676852 11204776 19353704 26611343 53222686 106445372 212890744