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222214004444020 = 22529941407149409
BaseRepresentation
bin110010100001101000111010…
…110011001000101101110100
31002010210110012001001120022111
4302201220322303020231310
5213111223240114202040
62104335412050340404
764543301116526401
oct6241507263105564
91063713161046274
10222214004444020
1164893480446446
1220b0a69058a704
1396cb8c962c9c4
143cc33027252a8
151aa5469a86dea
hexca1a3acc8b74

222214004444020 has 48 divisors (see below), whose sum is σ = 483253777717200. Its totient is φ = 85729379348480.

The previous prime is 222214004443969. The next prime is 222214004444021. The reversal of 222214004444020 is 20444400412222.

It can be written as a sum of positive squares in 8 ways, for example, as 18422276925924 + 203791727518096 = 4292118^2 + 14275564^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222214004444021) 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 15 ways as a sum of consecutive naturals, for example, 203028925 + ... + 204120484.

It is an arithmetic number, because the mean of its divisors is an integer number (10067787035775).

Almost surely, 2222214004444020 is an apocalyptic number.

222214004444020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222214004444020 is an abundant number, since it is smaller than the sum of its proper divisors (261039773273180).

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

222214004444020 is a wasteful number, since it uses less digits than its factorization.

222214004444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407150388 (or 407150386 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 31.

Adding to 222214004444020 its reverse (20444400412222), we get a palindrome (242658404856242).

The spelling of 222214004444020 in words is "two hundred twenty-two trillion, two hundred fourteen billion, four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 941 1882 3764 4705 9410 18820 27289 54578 109156 136445 272890 545780 407149409 814298818 1628597636 2035747045 4071494090 8142988180 11807332861 23614665722 47229331444 59036664305 118073328610 236146657220 383127593869 766255187738 1532510375476 1915637969345 3831275938690 7662551877380 11110700222201 22221400444402 44442800888804 55553501111005 111107002222010 222214004444020