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222201210002004 = 223297193329696909
BaseRepresentation
bin110010100001011101000000…
…001100001101101001010100
31002010202020011101001120101200
4302201131000030031221110
5213111021034230031004
62104325454321152500
764542336060545232
oct6241350014155124
91063666141046350
10222201210002004
11648890052aa822
1220b080bb78b730
1396ca63aa1005c
143cc284b3c7952
151aa4e6b6db239
hexca174030da54

222201210002004 has 72 divisors (see below), whose sum is σ = 570405986415720. Its totient is φ = 72923680899072.

The previous prime is 222201210001973. The next prime is 222201210002027. The reversal of 222201210002004 is 400200012102222.

It can be written as a sum of positive squares in 4 ways, for example, as 12407654002500 + 209793555999504 = 3522450^2 + 14484252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 164174499 + ... + 165522410.

It is an arithmetic number, because the mean of its divisors is an integer number (7922305366885).

Almost surely, 2222201210002004 is an apocalyptic number.

It is an amenable number.

222201210002004 is an abundant number, since it is smaller than the sum of its proper divisors (348204776413716).

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

222201210002004 is a wasteful number, since it uses less digits than its factorization.

222201210002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329697209 (or 329697204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222201210002004 its reverse (400200012102222), we get a palindrome (622401222104226).

The spelling of 222201210002004 in words is "two hundred twenty-two trillion, two hundred one billion, two hundred ten million, two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 97 193 194 291 386 388 579 582 772 873 1158 1164 1737 1746 2316 3474 3492 6948 18721 37442 56163 74884 112326 168489 224652 336978 673956 329696909 659393818 989090727 1318787636 1978181454 2967272181 3956362908 5934544362 11869088724 31980600173 63631503437 63961200346 95941800519 127263006874 127922400692 190894510311 191883601038 254526013748 287825401557 381789020622 383767202076 572683530933 575650803114 763578041244 1145367061866 1151301606228 2290734123732 6172255833389 12344511666778 18516767500167 24689023333556 37033535000334 55550302500501 74067070000668 111100605001002 222201210002004