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212740092 = 223243532593
BaseRepresentation
bin11001010111000…
…10011111111100
3112211022022112200
430223202133330
5413430140332
633035431500
75162155335
oct1453423774
9484268480
10212740092
11aa0a4864
125b2b5590
13350c8116
142037b28c
1513a2417c
hexcae27fc

212740092 has 72 divisors (see below), whose sum is σ = 560864304. Its totient is φ = 67931136.

The previous prime is 212740081. The next prime is 212740097. The reversal of 212740092 is 290047212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212740097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80748 + ... + 83340.

It is an arithmetic number, because the mean of its divisors is an integer number (7789782).

Almost surely, 2212740092 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 212740092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280432152).

212740092 is an abundant number, since it is smaller than the sum of its proper divisors (348124212).

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

212740092 is a wasteful number, since it uses less digits than its factorization.

212740092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 212740092 is about 14585.6124999946. The cubic root of 212740092 is about 596.9662531533.

The spelling of 212740092 in words is "two hundred twelve million, seven hundred forty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 318 387 477 516 636 774 954 1548 1908 2279 2593 4558 5186 6837 7779 9116 10372 13674 15558 20511 23337 27348 31116 41022 46674 82044 93348 111499 137429 222998 274858 334497 412287 445996 549716 668994 824574 1003491 1236861 1337988 1649148 2006982 2473722 4013964 4947444 5909447 11818894 17728341 23637788 35456682 53185023 70913364 106370046 212740092