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214966480 = 2452687081
BaseRepresentation
bin11001101000000…
…10000011010000
3112222111102120111
430310002003100
5420012411410
633155251104
75220120301
oct1464020320
9488442514
10214966480
11100385553
125bba9a94
13356c7601
142079a7a8
1513d13b8a
hexcd020d0

214966480 has 20 divisors (see below), whose sum is σ = 499797252. Its totient is φ = 85986560.

The previous prime is 214966471. The next prime is 214966483. The reversal of 214966480 is 84669412.

It can be written as a sum of positive squares in 2 ways, for example, as 139901584 + 75064896 = 11828^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214966483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1343461 + ... + 1343620.

Almost surely, 2214966480 is an apocalyptic number.

214966480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214966480 is an abundant number, since it is smaller than the sum of its proper divisors (284830772).

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

214966480 is a wasteful number, since it uses less digits than its factorization.

214966480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2687094 (or 2687088 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 214966480 is about 14661.7352315475. The cubic root of 214966480 is about 599.0415066699.

The spelling of 214966480 in words is "two hundred fourteen million, nine hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2687081 5374162 10748324 13435405 21496648 26870810 42993296 53741620 107483240 214966480