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220213680 = 2435917557
BaseRepresentation
bin11010010000000…
…11000110110000
3120100101000101020
431020003012300
5422333314210
633503535440
75312533251
oct1510030660
9510330336
10220213680
11103339885
12618ba580
1336813a6b
1421364b28
15144ed770
hexd2031b0

220213680 has 40 divisors (see below), whose sum is σ = 682663152. Its totient is φ = 58723584.

The previous prime is 220213639. The next prime is 220213687. The reversal of 220213680 is 86312022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220213680.

It is not an unprimeable number, because it can be changed into a prime (220213687) 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, 458539 + ... + 459018.

Almost surely, 2220213680 is an apocalyptic number.

220213680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220213680 is an abundant number, since it is smaller than the sum of its proper divisors (462449472).

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

220213680 is a wasteful number, since it uses less digits than its factorization.

220213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917573 (or 917567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 220213680 is about 14839.5983773147. The cubic root of 220213680 is about 603.8764567576.

The spelling of 220213680 in words is "two hundred twenty million, two hundred thirteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 917557 1835114 2752671 3670228 4587785 5505342 7340456 9175570 11010684 13763355 14680912 18351140 22021368 27526710 36702280 44042736 55053420 73404560 110106840 220213680