Search a number
-
+
212083920 = 24345231423
BaseRepresentation
bin11001010010000…
…10010011010000
3112210001222110000
430221002103100
5413243141140
633013410000
75153453316
oct1451022320
9483058400
10212083920
11a9796874
125b039900
1334c28559
142024a0b6
1513944a30
hexca424d0

212083920 has 200 divisors, whose sum is σ = 769165056. Its totient is φ = 54058752.

The previous prime is 212083919. The next prime is 212083933. The reversal of 212083920 is 29380212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148329 + ... + 149751.

Almost surely, 2212083920 is an apocalyptic number.

212083920 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 212083920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384582528).

212083920 is an abundant number, since it is smaller than the sum of its proper divisors (557081136).

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

212083920 is a wasteful number, since it uses less digits than its factorization.

212083920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 212083920 is about 14563.1013180572. The cubic root of 212083920 is about 596.3518634558.

The spelling of 212083920 in words is "two hundred twelve million, eighty-three thousand, nine hundred twenty".