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242214900 = 22352807383
BaseRepresentation
bin11100110111111…
…10011111110100
3121212202210101020
432123332133310
5444001334100
640011301140
76000535614
oct1633763764
9555683336
10242214900
111147a6704
126914a7b0
133b248035
1424250a44
15163e75a0
hexe6fe7f4

242214900 has 36 divisors (see below), whose sum is σ = 700809312. Its totient is φ = 64590560.

The previous prime is 242214887. The next prime is 242214901. The reversal of 242214900 is 9412242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242214901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403392 + ... + 403991.

Almost surely, 2242214900 is an apocalyptic number.

242214900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214900 is an abundant number, since it is smaller than the sum of its proper divisors (458594412).

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

242214900 is a wasteful number, since it uses less digits than its factorization.

242214900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807400 (or 807393 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 242214900 is about 15563.2548009727. The cubic root of 242214900 is about 623.3523750145.

The spelling of 242214900 in words is "two hundred forty-two million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 807383 1614766 2422149 3229532 4036915 4844298 8073830 9688596 12110745 16147660 20184575 24221490 40369150 48442980 60553725 80738300 121107450 242214900