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212271696 = 243271397167
BaseRepresentation
bin11001010011100…
…00001001010000
3112210102112000200
430221300021100
5413320143241
633021415200
75155164630
oct1451601120
9483375020
10212271696
11a990495a
125b10a500
1334c92b70
14202986c0
15139804b6
hexca70250

212271696 has 240 divisors, whose sum is σ = 743119104. Its totient is φ = 55074816.

The previous prime is 212271691. The next prime is 212271713. The reversal of 212271696 is 696172212.

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 a self number, because there is not a number n which added to its sum of digits gives 212271696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212271691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1271005 + ... + 1271171.

Almost surely, 2212271696 is an apocalyptic number.

212271696 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 212271696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559552).

212271696 is an abundant number, since it is smaller than the sum of its proper divisors (530847408).

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

212271696 is a wasteful number, since it uses less digits than its factorization.

212271696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 212271696 is about 14569.5468700986. The cubic root of 212271696 is about 596.5278119437.

The spelling of 212271696 in words is "two hundred twelve million, two hundred seventy-one thousand, six hundred ninety-six".