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214981128 = 2335110587
BaseRepresentation
bin11001101000001…
…01101000001000
3112222112011200000
430310011220020
5420013344003
633155443000
75220211065
oct1464055010
9488464600
10214981128
1110039555a
125bbb6460
133570118b
14207a1c6c
1513d181a3
hexcd05a08

214981128 has 48 divisors (see below), whose sum is σ = 603810480. Its totient is φ = 71659728.

The previous prime is 214981127. The next prime is 214981139. The reversal of 214981128 is 821189412.

It is a happy number.

214981128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214981092 and 214981101.

It is not an unprimeable number, because it can be changed into a prime (214981127) 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, 53350 + ... + 57237.

It is an arithmetic number, because the mean of its divisors is an integer number (12579385).

Almost surely, 2214981128 is an apocalyptic number.

It is an amenable number.

214981128 is an abundant number, since it is smaller than the sum of its proper divisors (388829352).

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

214981128 is a wasteful number, since it uses less digits than its factorization.

214981128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110608 (or 110592 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 214981128 is about 14662.2347546341. The cubic root of 214981128 is about 599.0551127613.

The spelling of 214981128 in words is "two hundred fourteen million, nine hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 110587 221174 331761 442348 663522 884696 995283 1327044 1990566 2654088 2985849 3981132 5971698 7962264 8957547 11943396 17915094 23886792 26872641 35830188 53745282 71660376 107490564 214981128