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222042422440 = 23541757178853
BaseRepresentation
bin1100111011001011000…
…0100111110010101000
3210020010111222202121201
43032302300213302220
512114220330004230
6250001015413544
722020263310166
oct3166260476250
9706114882551
10222042422440
1186193182453
12370496842b4
1317c27ba54a7
14aa65746236
155b986825ca
hex33b2c27ca8

222042422440 has 64 divisors (see below), whose sum is σ = 512459634960. Its totient is φ = 86535751680.

The previous prime is 222042422417. The next prime is 222042422477. The reversal of 222042422440 is 44224240222.

222042422440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 58621125924 + 163421296516 = 242118^2 + 404254^2 .

It is a junction number, because it is equal to n+sod(n) for n = 222042422399 and 222042422408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152054 + ... + 1330906.

Almost surely, 2222042422440 is an apocalyptic number.

222042422440 is a gapful number since it is divisible by the number (20) 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 222042422440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256229817480).

222042422440 is an abundant number, since it is smaller than the sum of its proper divisors (290417212520).

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

222042422440 is a wasteful number, since it uses less digits than its factorization.

222042422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179662 (or 179658 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 222042422440 its reverse (44224240222), we get a palindrome (266266662662).

The spelling of 222042422440 in words is "two hundred twenty-two billion, forty-two million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 757 820 1514 1640 3028 3785 6056 7570 15140 30280 31037 62074 124148 155185 178853 248296 310370 357706 620740 715412 894265 1241480 1430824 1788530 3577060 7154120 7332973 14665946 29331892 36664865 58663784 73329730 135391721 146659460 270783442 293318920 541566884 676958605 1083133768 1353917210 2707834420 5415668840 5551060561 11102121122 22204242244 27755302805 44408484488 55510605610 111021211220 222042422440