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223162055440 = 24519314453501
BaseRepresentation
bin1100111111010101111…
…1101011101100010000
3210100000112210000100121
43033311133223230100
512124013441233230
6250304053200024
722060110113302
oct3176537535420
9710015700317
10223162055440
1186708187285
1237300630014
1318075b3b51c
14ab30315972
155c11ae577a
hex33f57ebb10

223162055440 has 40 divisors (see below), whose sum is σ = 521540166168. Its totient is φ = 88802304000.

The previous prime is 223162055377. The next prime is 223162055447. The reversal of 223162055440 is 44550261322.

It can be written as a sum of positive squares in 4 ways, for example, as 51358437376 + 171803618064 = 226624^2 + 414492^2 .

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

It is a super-3 number, since 3×2231620554403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223162055396 and 223162055405.

It is not an unprimeable number, because it can be changed into a prime (223162055447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7211311 + ... + 7242190.

Almost surely, 2223162055440 is an apocalyptic number.

223162055440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223162055440 is an abundant number, since it is smaller than the sum of its proper divisors (298378110728).

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

223162055440 is a wasteful number, since it uses less digits than its factorization.

223162055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14453707 (or 14453701 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 223162055440 in words is "two hundred twenty-three billion, one hundred sixty-two million, fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 14453501 28907002 57814004 72267505 115628008 144535010 231256016 289070020 578140040 1156280080 2789525693 5579051386 11158102772 13947628465 22316205544 27895256930 44632411088 55790513860 111581027720 223162055440