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216700900 = 225213166693
BaseRepresentation
bin11001110101010…
…01011111100100
3120002202112202021
430322221133210
5420433412100
633300352524
75240633023
oct1472513744
9502675667
10216700900
1110135a659
12606a5744
1335b83bb0
1420acc8ba
1514057a1a
hexcea97e4

216700900 has 36 divisors (see below), whose sum is σ = 506416372. Its totient is φ = 80012160.

The previous prime is 216700873. The next prime is 216700907. The reversal of 216700900 is 9007612.

It can be written as a sum of positive squares in 6 ways, for example, as 53934336 + 162766564 = 7344^2 + 12758^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216700907) 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, 82047 + ... + 84646.

Almost surely, 2216700900 is an apocalyptic number.

216700900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216700900 is an abundant number, since it is smaller than the sum of its proper divisors (289715472).

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

216700900 is a wasteful number, since it uses less digits than its factorization.

216700900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166720 (or 166713 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 216700900 is about 14720.7642464649. The cubic root of 216700900 is about 600.6482807826.

The spelling of 216700900 in words is "two hundred sixteen million, seven hundred thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 166693 333386 666772 833465 1666930 2167009 3333860 4167325 4334018 8334650 8668036 10835045 16669300 21670090 43340180 54175225 108350450 216700900