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2230949168 = 247176471811
BaseRepresentation
bin1000010011111001…
…1001010100110000
312202110220221220222
42010332121110300
514032110333133
61005212552212
7106166516660
oct20476312460
95673827828
102230949168
11a45349148
12523182668
13297279686
141724161a0
15d0cd1e98
hex84f99530

2230949168 has 80 divisors (see below), whose sum is σ = 5241521664. Its totient is φ = 897991680.

The previous prime is 2230949167. The next prime is 2230949179. The reversal of 2230949168 is 8619490322.

It is a super-3 number, since 3×22309491683 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2230949167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230983 + ... + 1232793.

Almost surely, 22230949168 is an apocalyptic number.

2230949168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230949168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620760832).

2230949168 is an abundant number, since it is smaller than the sum of its proper divisors (3010572496).

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

2230949168 is a wasteful number, since it uses less digits than its factorization.

2230949168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 2230949168 is about 47232.9246183211. The cubic root of 2230949168 is about 1306.6618909770.

The spelling of 2230949168 in words is "two billion, two hundred thirty million, nine hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 647 952 1294 1811 1904 2588 3622 4529 5176 7244 9058 10352 10999 12677 14488 18116 21998 25354 28976 30787 36232 43996 50708 61574 72464 76993 87992 101416 123148 153986 175984 202832 215509 246296 307972 431018 492592 615944 862036 1171717 1231888 1724072 2343434 3448144 4686868 8202019 9373736 16404038 18747472 19919189 32808076 39838378 65616152 79676756 131232304 139434323 159353512 278868646 318707024 557737292 1115474584 2230949168