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212875080 = 233511296783
BaseRepresentation
bin11001011000000…
…11011101001000
3112211120011201020
430230003131020
5413444000310
633042352440
75163260025
oct1454033510
9484504636
10212875080
11aa187220
125b35b720
13351446b2
14203b454c
1513a4e170
hexcb03748

212875080 has 256 divisors, whose sum is σ = 740275200. Its totient is φ = 48491520.

The previous prime is 212875073. The next prime is 212875099. The reversal of 212875080 is 80578212.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2564719 + ... + 2564801.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2212875080 is an apocalyptic number.

212875080 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 212875080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

212875080 is an abundant number, since it is smaller than the sum of its proper divisors (527400120).

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

212875080 is a wasteful number, since it uses less digits than its factorization.

212875080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 212875080 is about 14590.2392029740. The cubic root of 212875080 is about 597.0924889463.

The spelling of 212875080 in words is "two hundred twelve million, eight hundred seventy-five thousand, eighty".