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212703900 = 223524117293
BaseRepresentation
bin11001010110110…
…01101010011100
3112211020110220020
430223121222130
5413423011100
633034552140
75161644663
oct1453315234
9484213806
10212703900
11aa07a652
125b298650
13350b47c6
142036bdda
1513a185a0
hexcad9a9c

212703900 has 72 divisors (see below), whose sum is σ = 630470064. Its totient is φ = 55334400.

The previous prime is 212703899. The next prime is 212703913. The reversal of 212703900 is 9307212.

212703900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3654 + ... + 20946.

Almost surely, 2212703900 is an apocalyptic number.

212703900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212703900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315235032).

212703900 is an abundant number, since it is smaller than the sum of its proper divisors (417766164).

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

212703900 is a wasteful number, since it uses less digits than its factorization.

212703900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17351 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 212703900 is about 14584.3717725516. The cubic root of 212703900 is about 596.9323986539.

The spelling of 212703900 in words is "two hundred twelve million, seven hundred three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 17293 34586 51879 69172 86465 103758 172930 207516 259395 345860 432325 518790 709013 864650 1037580 1296975 1418026 1729300 2127039 2593950 2836052 3545065 4254078 5187900 7090130 8508156 10635195 14180260 17725325 21270390 35450650 42540780 53175975 70901300 106351950 212703900