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222001041440 = 2552277760917
BaseRepresentation
bin1100111011000001001…
…0110001000000100000
3210020000122010101120002
43032300102301000200
512114124231311230
6245552540435132
722016251500653
oct3166022610040
9706018111502
10222001041440
1186171889282
1237037848aa8
1317c1c4471a9
14aa6005389a
155b94c0b545
hex33b04b1020

222001041440 has 48 divisors (see below), whose sum is σ = 524509097112. Its totient is φ = 88795060224.

The previous prime is 222001041371. The next prime is 222001041443. The reversal of 222001041440 is 44140100222.

It can be written as a sum of positive squares in 4 ways, for example, as 176302573456 + 45698467984 = 419884^2 + 213772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (222001041443) 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 7 ways as a sum of consecutive naturals, for example, 3613862 + ... + 3674778.

Almost surely, 2222001041440 is an apocalyptic number.

222001041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001041440 is an abundant number, since it is smaller than the sum of its proper divisors (302508055672).

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

222001041440 is a wasteful number, since it uses less digits than its factorization.

222001041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83709 (or 83701 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 222001041440 its reverse (44140100222), we get a palindrome (266141141662).

The spelling of 222001041440 in words is "two hundred twenty-two billion, one million, forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 22777 45554 60917 91108 113885 121834 182216 227770 243668 304585 364432 455540 487336 609170 728864 911080 974672 1218340 1822160 1949344 2436680 3644320 4873360 9746720 1387506509 2775013018 5550026036 6937532545 11100052072 13875065090 22200104144 27750130180 44400208288 55500260360 111000520720 222001041440