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212990088 = 23331476091
BaseRepresentation
bin11001011000111…
…11100010001000
3112211210000110210
430230133202020
5414011140323
633045041120
75164246233
oct1454374210
9484700423
10212990088
11aa255673
125b3b61a0
1335184b4c
142040441a
1513a73293
hexcb1f888

212990088 has 64 divisors (see below), whose sum is σ = 561438720. Its totient is φ = 67233600.

The previous prime is 212990047. The next prime is 212990111. The reversal of 212990088 is 880099212.

It is an unprimeable number.

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, 31923 + ... + 38013.

It is an arithmetic number, because the mean of its divisors is an integer number (8772480).

Almost surely, 2212990088 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 212990088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280719360).

212990088 is an abundant number, since it is smaller than the sum of its proper divisors (348448632).

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

212990088 is a wasteful number, since it uses less digits than its factorization.

212990088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 212990088 is about 14594.1799358511. The cubic root of 212990088 is about 597.1999980859.

The spelling of 212990088 in words is "two hundred twelve million, nine hundred ninety thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 564 744 1128 1457 2914 4371 5828 6091 8742 11656 12182 17484 18273 24364 34968 36546 48728 73092 146184 188821 286277 377642 566463 572554 755284 858831 1132926 1145108 1510568 1717662 2265852 2290216 3435324 4531704 6870648 8874587 17749174 26623761 35498348 53247522 70996696 106495044 212990088