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212638734 = 232731131101
BaseRepresentation
bin11001010110010…
…01110000001110
3112211010011111200
430223021300032
5413413414414
633033330330
75161254000
oct1453116016
9484104450
10212638734
11aa0356a0
125b2669a6
1335090c49
1420352370
1513a04109
hexcac9c0e

212638734 has 192 divisors, whose sum is σ = 611020800. Its totient is φ = 52920000.

The previous prime is 212638733. The next prime is 212638739. The reversal of 212638734 is 437836212.

It is a happy number.

212638734 is a `hidden beast` number, since 2 + 12 + 638 + 7 + 3 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212638733) 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 95 ways as a sum of consecutive naturals, for example, 2105284 + ... + 2105384.

It is an arithmetic number, because the mean of its divisors is an integer number (3182400).

Almost surely, 2212638734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212638734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305510400).

212638734 is an abundant number, since it is smaller than the sum of its proper divisors (398382066).

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

212638734 is a wasteful number, since it uses less digits than its factorization.

212638734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 212638734 is about 14582.1374976373. The cubic root of 212638734 is about 596.8714317888.

The spelling of 212638734 in words is "two hundred twelve million, six hundred thirty-eight thousand, seven hundred thirty-four".