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216122460 = 22353602041
BaseRepresentation
bin11001110000111…
…00010001011100
3120001200011021120
430320130101130
5420311404320
633240130540
75233003431
oct1470342134
9501604246
10216122460
11100aa5004
1260466a50
1335a10818
14209bbb88
1513e91440
hexce1c45c

216122460 has 24 divisors (see below), whose sum is σ = 605143056. Its totient is φ = 57632640.

The previous prime is 216122443. The next prime is 216122461. The reversal of 216122460 is 64221612.

It is a self number, because there is not a number n which added to its sum of digits gives 216122460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216122461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1800961 + ... + 1801080.

It is an arithmetic number, because the mean of its divisors is an integer number (25214294).

Almost surely, 2216122460 is an apocalyptic number.

216122460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216122460 is an abundant number, since it is smaller than the sum of its proper divisors (389020596).

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

216122460 is a wasteful number, since it uses less digits than its factorization.

216122460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602053 (or 3602051 counting only the distinct ones).

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

The square root of 216122460 is about 14701.1040401733. The cubic root of 216122460 is about 600.1133674672.

The spelling of 216122460 in words is "two hundred sixteen million, one hundred twenty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3602041 7204082 10806123 14408164 18010205 21612246 36020410 43224492 54030615 72040820 108061230 216122460