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218055380 = 22573233641
BaseRepresentation
bin11001111111101…
…00001011010100
3120012022100202012
430333310023110
5421310233010
633345403352
75255303654
oct1477641324
9505270665
10218055380
111020a5264
1261039558
133623956a
1420d62364
1514224005
hexcff42d4

218055380 has 48 divisors (see below), whose sum is σ = 466908624. Its totient is φ = 85524480.

The previous prime is 218055377. The next prime is 218055491. The reversal of 218055380 is 83550812.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 315844 + 217739536 = 562^2 + 14756^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339860 + ... + 340500.

It is an arithmetic number, because the mean of its divisors is an integer number (9727263).

Almost surely, 2218055380 is an apocalyptic number.

218055380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218055380 is an abundant number, since it is smaller than the sum of its proper divisors (248853244).

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

218055380 is a wasteful number, since it uses less digits than its factorization.

218055380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 218055380 is about 14766.6983445860. The cubic root of 218055380 is about 601.8971248364.

The spelling of 218055380 in words is "two hundred eighteen million, fifty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 233 292 365 466 641 730 932 1165 1282 1460 2330 2564 3205 4660 6410 12820 17009 34018 46793 68036 85045 93586 149353 170090 187172 233965 298706 340180 467930 597412 746765 935860 1493530 2987060 10902769 21805538 43611076 54513845 109027690 218055380