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219680680 = 23515734981
BaseRepresentation
bin11010001100000…
…00111110101000
3120022100221020111
431012000332220
5422214240210
633444304104
75305153312
oct1506007650
9508327214
10219680680
1110300538a
12616a2034
133668828b
14212667b2
151444588a
hexd180fa8

219680680 has 32 divisors (see below), whose sum is σ = 497444040. Its totient is φ = 87310080.

The previous prime is 219680627. The next prime is 219680693. The reversal of 219680680 is 86086912.

219680680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 161951076 + 57729604 = 12726^2 + 7598^2 .

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

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11211 + ... + 23770.

Almost surely, 2219680680 is an apocalyptic number.

219680680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219680680 is an abundant number, since it is smaller than the sum of its proper divisors (277763360).

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

219680680 is a wasteful number, since it uses less digits than its factorization.

219680680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35149 (or 35145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 219680680 is about 14821.6287903860. The cubic root of 219680680 is about 603.3888603766.

The spelling of 219680680 in words is "two hundred nineteen million, six hundred eighty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 34981 69962 139924 174905 279848 349810 699620 1399240 5492017 10984034 21968068 27460085 43936136 54920170 109840340 219680680