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212363424 = 25337133773
BaseRepresentation
bin11001010100001…
…10100010100000
3112210121011212000
430222012202200
5413331112144
633023404000
75156026230
oct1452064240
9483534760
10212363424
11a9967869
125b153600
1334cc5840
14202bdcc0
151399c769
hexca868a0

212363424 has 384 divisors, whose sum is σ = 793658880. Its totient is φ = 53747712.

The previous prime is 212363419. The next prime is 212363441. The reversal of 212363424 is 424363212.

212363424 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 634 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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, 2909052 + ... + 2909124.

It is an arithmetic number, because the mean of its divisors is an integer number (2066820).

Almost surely, 2212363424 is an apocalyptic number.

212363424 is a gapful number since it is divisible by the number (24) 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 212363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396829440).

212363424 is an abundant number, since it is smaller than the sum of its proper divisors (581295456).

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

212363424 is a wasteful number, since it uses less digits than its factorization.

212363424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 212363424 is about 14572.6944660210. The cubic root of 212363424 is about 596.6137245176.

The spelling of 212363424 in words is "two hundred twelve million, three hundred sixty-three thousand, four hundred twenty-four".