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42200216 = 23192312071
BaseRepresentation
bin1010000011111…
…0110010011000
32221101222210222
42200332302120
541300401331
64104255212
71021460462
oct240766230
987358728
1042200216
1121903713
1212171508
138987156
145867132
153a88b7b
hex283ec98

42200216 has 32 divisors (see below), whose sum is σ = 86918400. Its totient is φ = 19118880.

The previous prime is 42200203. The next prime is 42200237. The reversal of 42200216 is 61200224.

It is a junction number, because it is equal to n+sod(n) for n = 42200194 and 42200203.

It is a congruent number.

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, 2540 + ... + 9531.

It is an arithmetic number, because the mean of its divisors is an integer number (2716200).

Almost surely, 242200216 is an apocalyptic number.

42200216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42200216 is an abundant number, since it is smaller than the sum of its proper divisors (44718184).

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

42200216 is a wasteful number, since it uses less digits than its factorization.

42200216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 42200216 is about 6496.1693327684. The cubic root of 42200216 is about 348.1541352703.

The spelling of 42200216 in words is "forty-two million, two hundred thousand, two hundred sixteen".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 874 1748 3496 12071 24142 48284 96568 229349 277633 458698 555266 917396 1110532 1834792 2221064 5275027 10550054 21100108 42200216