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212055480 = 233257136473
BaseRepresentation
bin11001010001110…
…11010110111000
3112210000112102200
430220323112320
5413241233410
633013030200
75153304360
oct1450732670
9483015380
10212055480
11a977746a
125b025360
1334c18620
142023d9a0
151393b3c0
hexca3b5b8

212055480 has 192 divisors, whose sum is σ = 848352960. Its totient is φ = 44734464.

The previous prime is 212055479. The next prime is 212055509. The reversal of 212055480 is 84550212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29524 + ... + 35996.

It is an arithmetic number, because the mean of its divisors is an integer number (4418505).

Almost surely, 2212055480 is an apocalyptic number.

212055480 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 212055480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424176480).

212055480 is an abundant number, since it is smaller than the sum of its proper divisors (636297480).

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

212055480 is a wasteful number, since it uses less digits than its factorization.

212055480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 212055480 is about 14562.1248449531. The cubic root of 212055480 is about 596.3252057611.

It can be divided in two parts, 2120 and 55480, that added together give a square (57600 = 2402).

The spelling of 212055480 in words is "two hundred twelve million, fifty-five thousand, four hundred eighty".