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222139684404 = 22321123109223757
BaseRepresentation
bin1100111011100010001…
…1101001011000110100
3210020101022000011221200
43032320203221120310
512114420224400104
6250014412212500
722022554106601
oct3167043513064
9706338004850
10222139684404
1186233073840
123707616a130
1317c4209a951
14aa746236a8
155ba1e95b39
hex33b88e9634

222139684404 has 144 divisors (see below), whose sum is σ = 645067463040. Its totient is φ = 63797310720.

The previous prime is 222139684391. The next prime is 222139684409. The reversal of 222139684404 is 404486931222.

222139684404 is a `hidden beast` number, since 22 + 213 + 9 + 6 + 8 + 4 + 404 = 666.

222139684404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 222139684404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222139684409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 880894 + ... + 1104650.

It is an arithmetic number, because the mean of its divisors is an integer number (4479635160).

Almost surely, 2222139684404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222139684404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322533731520).

222139684404 is an abundant number, since it is smaller than the sum of its proper divisors (422927778636).

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

222139684404 is a wasteful number, since it uses less digits than its factorization.

222139684404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223910 (or 223905 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 222139684404 in words is "two hundred twenty-two billion, one hundred thirty-nine million, six hundred eighty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 109 132 138 198 207 218 253 276 327 396 414 436 506 654 759 828 981 1012 1199 1308 1518 1962 2277 2398 2507 3036 3597 3924 4554 4796 5014 7194 7521 9108 10028 10791 14388 15042 21582 22563 27577 30084 43164 45126 55154 82731 90252 110308 165462 223757 248193 330924 447514 496386 671271 895028 992772 1342542 2013813 2461327 2685084 4027626 4922654 5146411 7383981 8055252 9845308 10292822 14767962 15439233 20585644 22151943 24389513 29535924 30878466 44303886 46317699 48779026 56610521 61756932 73168539 88607772 92635398 97558052 113221042 146337078 169831563 185270796 219505617 226442084 268284643 292674156 339663126 439011234 509494689 536569286 560958799 679326252 804853929 878022468 1018989378 1073138572 1121917598 1609707858 1682876397 2037978756 2243835196 2414561787 3219415716 3365752794 4829123574 5048629191 6170546789 6731505588 9658247148 10097258382 12341093578 18511640367 20194516764 24682187156 37023280734 55534921101 74046561468 111069842202 222139684404