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212200960 = 29582891
BaseRepresentation
bin11001010010111…
…10111000000000
3112210021220222211
430221132320000
5413310412320
633020111504
75154451456
oct1451367000
9483256884
10212200960
11a98667a4
125b095594
1334c698ca
142027a9d6
151396955a
hexca5ee00

212200960 has 40 divisors (see below), whose sum is σ = 508791096. Its totient is φ = 84879360.

The previous prime is 212200943. The next prime is 212200973. The reversal of 212200960 is 69002212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38886 + ... + 44005.

Almost surely, 2212200960 is an apocalyptic number.

212200960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200960 is an abundant number, since it is smaller than the sum of its proper divisors (296590136).

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

212200960 is an frugal number, since it uses more digits than its factorization.

212200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82914 (or 82898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 212200960 is about 14567.1191386629. The cubic root of 212200960 is about 596.4615436030.

The spelling of 212200960 in words is "two hundred twelve million, two hundred thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 82891 165782 331564 414455 663128 828910 1326256 1657820 2652512 3315640 5305024 6631280 10610048 13262560 21220096 26525120 42440192 53050240 106100480 212200960