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212242080 = 2535442171
BaseRepresentation
bin11001010011010…
…00111010100000
3112210101000101210
430221220322200
5413313221310
633021030120
75155012401
oct1451507240
9483330353
10212242080
11a9894686
125b0b5340
1334c8253b
142028b9a8
1513976820
hexca68ea0

212242080 has 48 divisors (see below), whose sum is σ = 668564064. Its totient is φ = 56597760.

The previous prime is 212242073. The next prime is 212242099. The reversal of 212242080 is 80242212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220606 + ... + 221565.

It is an arithmetic number, because the mean of its divisors is an integer number (13928418).

Almost surely, 2212242080 is an apocalyptic number.

212242080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212242080 is an abundant number, since it is smaller than the sum of its proper divisors (456321984).

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

212242080 is a wasteful number, since it uses less digits than its factorization.

212242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442189 (or 442181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 212242080 is about 14568.5304681014. The cubic root of 212242080 is about 596.5000682710.

Adding to 212242080 its reverse (80242212), we get a palindrome (292484292).

The spelling of 212242080 in words is "two hundred twelve million, two hundred forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 442171 884342 1326513 1768684 2210855 2653026 3537368 4421710 5306052 6632565 7074736 8843420 10612104 13265130 14149472 17686840 21224208 26530260 35373680 42448416 53060520 70747360 106121040 212242080