Search a number
-
+
223212267313155 = 325131191607326597
BaseRepresentation
bin110010110000001010100111…
…111001110001100000000011
31002021022212212200202121020100
4302300022213321301200003
5213224102210413010110
62110422144444213443
765005361032105101
oct6260124771614003
91067285780677210
10223212267313155
116513887784819a
122105004883a283
139771a98a4b353
143d1976217cc71
151ac13e3a62bc0
hexcb02a7e71803

223212267313155 has 96 divisors (see below), whose sum is σ = 392542661541888. Its totient is φ = 117325301932800.

The previous prime is 223212267313129. The next prime is 223212267313159. The reversal of 223212267313155 is 551313762212322.

223212267313155 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 122 + 67 + 313 + 155 = 666.

It is not a de Polignac number, because 223212267313155 - 27 = 223212267313027 is a prime.

It is a super-3 number, since 3×2232122673131553 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 223212267313155.

It is not an unprimeable number, because it can be changed into a prime (223212267313159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683285317 + ... + 683611913.

It is an arithmetic number, because the mean of its divisors is an integer number (4088986057728).

Almost surely, 2223212267313155 is an apocalyptic number.

223212267313155 is a deficient number, since it is larger than the sum of its proper divisors (169330394228733).

223212267313155 is a wasteful number, since it uses less digits than its factorization.

223212267313155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327537 (or 327534 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 223212267313155 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred sixty-seven million, three hundred thirteen thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 45 131 191 393 573 607 655 955 1179 1719 1821 1965 2865 3035 5463 5895 8595 9105 25021 27315 75063 79517 115937 125105 225189 238551 326597 347811 375315 397585 579685 715653 979791 1043433 1125945 1192755 1632985 1739055 2939373 3578265 4898955 5217165 14696865 15187747 42784207 45563241 62380027 75938735 128352621 136689723 187140081 198244379 213921035 227816205 311900135 385057863 561420243 594733137 641763105 683448615 935700405 991221895 1784199411 1925289315 2807101215 2973665685 8171783537 8920997055 24515350611 25970013649 37864676389 40858917685 73546051833 77910040947 113594029167 122576753055 129850068245 189323381945 233730122841 340782087501 367730259165 389550204735 567970145835 1168650614205 1703910437505 4960272606959 14880817820877 24801363034795 44642453462631 74404089104385 223212267313155