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212692116 = 2237133161103
BaseRepresentation
bin11001010110101…
…10110010010100
3112211012212201210
430223112302110
5413422121431
633034421420
75161565430
oct1453266224
9484185653
10212692116
11aa07180a
125b291870
13350ac330
14203679c0
1513a14d46
hexcad6c94

212692116 has 192 divisors, whose sum is σ = 647069696. Its totient is φ = 52876800.

The previous prime is 212692091. The next prime is 212692141. The reversal of 212692116 is 611296212.

212692116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212692091) and next prime (212692141).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2064921 + ... + 2065023.

Almost surely, 2212692116 is an apocalyptic number.

212692116 is a gapful number since it is divisible by the number (26) 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 212692116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323534848).

212692116 is an abundant number, since it is smaller than the sum of its proper divisors (434377580).

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

212692116 is a wasteful number, since it uses less digits than its factorization.

212692116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 212692116 is about 14583.9677728662. The cubic root of 212692116 is about 596.9213749079.

The spelling of 212692116 in words is "two hundred twelve million, six hundred ninety-two thousand, one hundred sixteen".