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212082780 = 2235721331179
BaseRepresentation
bin11001010010000…
…10000001011100
3112210001220212210
430221002001130
5413243122110
633013400420
75153450100
oct1451020134
9483056783
10212082780
11a9795a28
125b039110
1334c27b90
1420249900
1513944520
hexca4205c

212082780 has 288 divisors, whose sum is σ = 772208640. Its totient is φ = 43061760.

The previous prime is 212082743. The next prime is 212082809. The reversal of 212082780 is 87280212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184731 + ... + 1184909.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2212082780 is an apocalyptic number.

212082780 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 212082780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386104320).

212082780 is an abundant number, since it is smaller than the sum of its proper divisors (560125860).

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

212082780 is a wasteful number, since it uses less digits than its factorization.

212082780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 212082780 is about 14563.0621779899. The cubic root of 212082780 is about 596.3507949442.

The spelling of 212082780 in words is "two hundred twelve million, eighty-two thousand, seven hundred eighty".