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2290868249868 = 22321129353565109
BaseRepresentation
bin100001010101100010011…
…000110110010100001100
322010000010112202220111100
4201111202120312110030
5300013144232443433
64512224345023100
7324336564556242
oct41254230662414
98100115686440
102290868249868
1180360844a050
1230bb9b184a90
13138049533723
147cc42cc2792
153e8cdb37b13
hex2156263650c

2290868249868 has 144 divisors (see below), whose sum is σ = 6553603274400. Its totient is φ = 668364533760.

The previous prime is 2290868249827. The next prime is 2290868249899. The reversal of 2290868249868 is 8689428680922.

2290868249868 is a `hidden beast` number, since 229 + 0 + 86 + 8 + 249 + 86 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2290868249796 and 2290868249805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3771298 + ... + 4336406.

It is an arithmetic number, because the mean of its divisors is an integer number (45511133850).

Almost surely, 22290868249868 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 2290868249868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276801637200).

2290868249868 is an abundant number, since it is smaller than the sum of its proper divisors (4262735024532).

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

2290868249868 is a wasteful number, since it uses less digits than its factorization.

2290868249868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565512 (or 565507 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 2290868249868 in words is "two trillion, two hundred ninety billion, eight hundred sixty-eight million, two hundred forty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 353 396 522 638 706 957 1044 1059 1276 1412 1914 2118 2871 3177 3828 3883 4236 5742 6354 7766 10237 11484 11649 12708 15532 20474 23298 30711 34947 40948 46596 61422 69894 92133 112607 122844 139788 184266 225214 337821 368532 450428 565109 675642 1013463 1130218 1351284 1695327 2026926 2260436 3390654 4053852 5085981 6216199 6781308 10171962 12432398 16388161 18648597 20343924 24864796 32776322 37297194 49164483 55945791 65552644 74594388 98328966 111891582 147493449 180269771 196657932 199483477 223783164 294986898 360539542 398966954 540809313 589973796 598450431 721079084 797933908 1081618626 1196900862 1622427939 1795351293 2163237252 2194318247 2393801724 3244855878 3590702586 4388636494 5785020833 6489711756 6582954741 7181405172 8777272988 11570041666 13165909482 17355062499 19748864223 23140083332 26331818964 34710124998 39497728446 52065187497 63635229163 69420249996 78995456892 104130374994 127270458326 190905687489 208260749988 254540916652 381811374978 572717062467 763622749956 1145434124934 2290868249868