Search a number
-
+
223211242112322 = 233773137683147197
BaseRepresentation
bin110010110000001001101010…
…110010111100010101000010
31002021022210020020200000002010
4302300021222302330111002
5213224043110440043242
62110421455022433350
765005323443044302
oct6260115262742502
91067283206600063
10223211242112322
11651383a1081682
122104ba01432856
139771964529739
143d196a5d51602
151ac1383a5489c
hexcb026acbc542

223211242112322 has 128 divisors (see below), whose sum is σ = 468849718658304. Its totient is φ = 70775718064128.

The previous prime is 223211242112297. The next prime is 223211242112323.

It is a happy number.

223211242112322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2232112421123223 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223211242112322.

It is not an unprimeable number, because it can be changed into a prime (223211242112323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1516338028 + ... + 1516485224.

It is an arithmetic number, because the mean of its divisors is an integer number (3662888427018).

Almost surely, 2223211242112322 is an apocalyptic number.

223211242112322 is an abundant number, since it is smaller than the sum of its proper divisors (245638476545982).

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

223211242112322 is a wasteful number, since it uses less digits than its factorization.

223211242112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148132.

The product of its digits is 9216, while the sum is 30.

The spelling of 223211242112322 in words is "two hundred twenty-three trillion, two hundred eleven billion, two hundred forty-two million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 37 73 74 111 137 146 219 222 274 411 438 683 822 1366 2049 2701 4098 5069 5402 8103 10001 10138 15207 16206 20002 25271 30003 30414 49859 50542 60006 75813 93571 99718 147197 149577 151626 187142 280713 294394 299154 370037 441591 561426 740074 883182 1110111 1844783 2220222 3462127 3689566 5446289 5534349 6830683 6924254 10386381 10745381 10892578 11068698 13661366 16338867 20165989 20492049 20772762 21490762 32236143 32677734 40331978 40984098 60497967 64472286 100535551 120995934 201071102 252735271 301606653 397579097 505470542 603213306 746141593 758205813 795158194 1192737291 1472117197 1492283186 1516411626 2238424779 2385474582 2944234394 3719815387 4416351591 4476849558 7339095223 7439630774 8832703182 11159446161 13773370487 14678190446 22017285669 22318892322 27546740974 41320111461 44034571338 54468336289 82640222922 108936672578 163405008867 271546523251 326810017734 509614708019 543093046502 814639569753 1005456045551 1019229416038 1528844124057 1629279139506 2010912091102 3016368136653 3057688248114 6032736273306 37201873685387 74403747370774 111605621056161 223211242112322