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212731064 = 237131717189
BaseRepresentation
bin11001010111000…
…00010010111000
3112211021212011022
430223200102320
5413424343224
633035322012
75162120120
oct1453402270
9484255138
10212731064
11aa098aa7
125b2b0308
13350c3c90
1420377c80
1513a2165e
hexcae04b8

212731064 has 64 divisors (see below), whose sum is σ = 519825600. Its totient is φ = 79202304.

The previous prime is 212731063. The next prime is 212731091. The reversal of 212731064 is 460137212.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212731061) 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, 3782 + ... + 20970.

It is an arithmetic number, because the mean of its divisors is an integer number (8122275).

Almost surely, 2212731064 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 212731064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259912800).

212731064 is an abundant number, since it is smaller than the sum of its proper divisors (307094536).

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

212731064 is a wasteful number, since it uses less digits than its factorization.

212731064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17232 (or 17228 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 212731064 is about 14585.3030136504. The cubic root of 212731064 is about 596.9578085962.

Adding to 212731064 its reverse (460137212), we get a palindrome (672868276).

The spelling of 212731064 in words is "two hundred twelve million, seven hundred thirty-one thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 6188 12376 17189 34378 68756 120323 137512 223457 240646 292213 446914 481292 584426 893828 962584 1168852 1564199 1787656 2045491 2337704 3128398 3798769 4090982 6256796 7597538 8181964 12513592 15195076 16363928 26591383 30390152 53182766 106365532 212731064