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222673680 = 24325309269
BaseRepresentation
bin11010100010110…
…11101100010000
3120111222222212100
431101123230100
5424001024210
634032400400
75342460255
oct1521335420
9514888770
10222673680
1110476a039
12626a6100
1337195698
142180542c
15148375c0
hexd45bb10

222673680 has 60 divisors (see below), whose sum is σ = 747814860. Its totient is φ = 59379456.

The previous prime is 222673657. The next prime is 222673681. The reversal of 222673680 is 86376222.

It can be written as a sum of positive squares in 2 ways, for example, as 74028816 + 148644864 = 8604^2 + 12192^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (222673681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153915 + ... + 155354.

It is an arithmetic number, because the mean of its divisors is an integer number (12463581).

Almost surely, 2222673680 is an apocalyptic number.

222673680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222673680 is an abundant number, since it is smaller than the sum of its proper divisors (525141180).

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

222673680 is a wasteful number, since it uses less digits than its factorization.

222673680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309288 (or 309279 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 222673680 is about 14922.2545213517. The cubic root of 222673680 is about 606.1167634367.

The spelling of 222673680 in words is "two hundred twenty-two million, six hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 309269 618538 927807 1237076 1546345 1855614 2474152 2783421 3092690 3711228 4639035 4948304 5566842 6185380 7422456 9278070 11133684 12370760 13917105 14844912 18556140 22267368 24741520 27834210 37112280 44534736 55668420 74224560 111336840 222673680