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2264111125140 = 22352271061156677
BaseRepresentation
bin100000111100100111100…
…010100001001010010100
322000110001210112010200210
4200330213202201022110
5244043344422001030
64452041315005420
7322401533012244
oct40744742411224
98013053463623
102264111125140
117a3227783227
12306972299870
13135673c6c647
147b825423b24
153dd64a7abb0
hex20f278a1294

2264111125140 has 96 divisors (see below), whose sum is σ = 6373480546944. Its totient is φ = 600532840960.

The previous prime is 2264111125123. The next prime is 2264111125193. The reversal of 2264111125140 is 415211114622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2264111125098 and 2264111125107.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14372482 + ... + 14529158.

It is an arithmetic number, because the mean of its divisors is an integer number (66390422364).

Almost surely, 22264111125140 is an apocalyptic number.

2264111125140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2264111125140 is an abundant number, since it is smaller than the sum of its proper divisors (4109369421804).

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

2264111125140 is a wasteful number, since it uses less digits than its factorization.

2264111125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157977 (or 157975 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 2264111125140 its reverse (415211114622), we get a palindrome (2679322239762).

The spelling of 2264111125140 in words is "two trillion, two hundred sixty-four billion, one hundred eleven million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 227 454 681 908 1061 1135 1362 2122 2270 2724 3183 3405 4244 4540 5305 6366 6810 10610 12732 13620 15915 21220 31830 63660 156677 240847 313354 470031 481694 626708 722541 783385 940062 963388 1204235 1445082 1566770 1880124 2350155 2408470 2890164 3133540 3612705 4700310 4816940 7225410 9400620 14450820 35565679 71131358 106697037 142262716 166234297 177828395 213394074 332468594 355656790 426788148 498702891 533485185 664937188 711313580 831171485 997405782 1066970370 1662342970 1994811564 2133940740 2493514455 3324685940 4987028910 9974057820 37735185419 75470370838 113205556257 150940741676 188675927095 226411112514 377351854190 452822225028 566027781285 754703708380 1132055562570 2264111125140