Search a number
-
+
222555504042 = 233101211193393
BaseRepresentation
bin1100111101000101010…
…1110111110110101010
3210021110021110000021000
43033101111313312222
512121243202112132
6250123544455430
722036063400004
oct3172125676652
9707407400230
10222555504042
1186426864233
123717147a576
1317caa28a981
14aab3945374
155bc873187c
hex33d1577daa

222555504042 has 64 divisors (see below), whose sum is σ = 501834222720. Its totient is φ = 73102176000.

The previous prime is 222555503999. The next prime is 222555504053. The reversal of 222555504042 is 240405555222.

222555504042 is a `hidden beast` number, since 2 + 2 + 25 + 5 + 550 + 40 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 222555503988 and 222555504006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1054098 + ... + 1247490.

It is an arithmetic number, because the mean of its divisors is an integer number (7841159730).

Almost surely, 2222555504042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222555504042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250917111360).

222555504042 is an abundant number, since it is smaller than the sum of its proper divisors (279278718678).

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

222555504042 is a wasteful number, since it uses less digits than its factorization.

222555504042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193716 (or 193710 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 222555504042 in words is "two hundred twenty-two billion, five hundred fifty-five million, five hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 211 303 422 606 633 909 1266 1818 1899 2727 3798 5454 5697 11394 21311 42622 63933 127866 191799 193393 383598 386786 575397 580179 1150794 1160358 1740537 3481074 5221611 10443222 19532693 39065386 40805923 58598079 81611846 117196158 122417769 175794237 244835538 351588474 367253307 527382711 734506614 1054765422 1101759921 2203519842 4121398223 8242796446 12364194669 24728389338 37092584007 74185168014 111277752021 222555504042