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212929236 = 22361341137
BaseRepresentation
bin11001011000100…
…00101011010100
3112211122221000000
430230100223110
5414002213421
633043451300
75163603642
oct1454205324
9484587000
10212929236
11aa213983
125b386b30
1335163240
14203ca192
1513a60226
hexcb10ad4

212929236 has 168 divisors, whose sum is σ = 620832744. Its totient is φ = 63452160.

The previous prime is 212929229. The next prime is 212929243. The reversal of 212929236 is 632929212.

212929236 is digitally balanced in base 3, 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 (212929229) and next prime (212929243).

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 212576400 = 594^2 + 14580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 212929236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1554160 + ... + 1554296.

It is an arithmetic number, because the mean of its divisors is an integer number (3695433).

Almost surely, 2212929236 is an apocalyptic number.

212929236 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 212929236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310416372).

212929236 is an abundant number, since it is smaller than the sum of its proper divisors (407903508).

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

212929236 is a wasteful number, since it uses less digits than its factorization.

212929236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 196 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 212929236 is about 14592.0949832435. The cubic root of 212929236 is about 597.1431186382.

The spelling of 212929236 in words is "two hundred twelve million, nine hundred twenty-nine thousand, two hundred thirty-six".