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222120001004 = 2211172312910951
BaseRepresentation
bin1100111011011101100…
…0100011110111101100
3210020022220222011101212
43032313120203313230
512114400210013004
6250012430253552
722022224566566
oct3166730436754
9706286864355
10222120001004
1186222a4a370
123706b6572b8
1317c3ac98675
14aa71b7c336
155ba03a896e
hex33b7623dec

222120001004 has 48 divisors (see below), whose sum is σ = 468512626176. Its totient is φ = 90893088000.

The previous prime is 222120001003. The next prime is 222120001007. The reversal of 222120001004 is 400100021222.

It is a super-2 number, since 2×2221200010042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222120001004.

It is not an unprimeable number, because it can be changed into a prime (222120001003) 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, 6438272 + ... + 6472679.

It is an arithmetic number, because the mean of its divisors is an integer number (9760679712).

Almost surely, 2222120001004 is an apocalyptic number.

It is an amenable number.

222120001004 is an abundant number, since it is smaller than the sum of its proper divisors (246392625172).

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

222120001004 is a wasteful number, since it uses less digits than its factorization.

222120001004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12911006 (or 12911004 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222120001004 its reverse (400100021222), we get a palindrome (622220022226).

The spelling of 222120001004 in words is "two hundred twenty-two billion, one hundred twenty million, one thousand, four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 187 253 374 391 506 748 782 1012 1564 4301 8602 17204 12910951 25821902 51643804 142020461 219486167 284040922 296951873 438972334 568081844 593903746 877944668 1187807492 2414347837 3266470603 4828695674 5048181841 6532941206 9657391348 10096363682 13065882412 20192727364 55530000251 111060000502 222120001004