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8100216 = 233337501
BaseRepresentation
bin11110111001100101111000
3120020112102000
4132321211320
54033201331
6445341000
7125564535
oct36714570
916215360
108100216
1146328a3
122867760
1318a7c37
14110bd8c
15aa00e6
hex7b9978

8100216 has 32 divisors (see below), whose sum is σ = 22501200. Its totient is φ = 2700000.

The previous prime is 8100203. The next prime is 8100217. The reversal of 8100216 is 6120018.

It is a super-2 number, since 2×81002162 = 131226998493312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8100217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18535 + ... + 18966.

Almost surely, 28100216 is an apocalyptic number.

It is an amenable number.

8100216 is an abundant number, since it is smaller than the sum of its proper divisors (14400984).

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

8100216 is a wasteful number, since it uses less digits than its factorization.

8100216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37516 (or 37506 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 8100216 is about 2846.0878412305. The cubic root of 8100216 is about 200.8316701633.

It can be divided in two parts, 81002 and 16, that added together give a palindrome (81018).

The spelling of 8100216 in words is "eight million, one hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37501 75002 112503 150004 225006 300008 337509 450012 675018 900024 1012527 1350036 2025054 2700072 4050108 8100216