Search a number
-
+
226062444260 = 225157263457599
BaseRepresentation
bin1101001010001001011…
…1110010011011100100
3210121111200101000211202
43102202113302123210
512200433441204020
6251503542422032
722222016033342
oct3224227623344
9717450330752
10226062444260
11879663a1334
123798ba31918
13184189b7223
14ad275cc992
155d3155ee75
hex34a25f26e4

226062444260 has 96 divisors (see below), whose sum is σ = 481423219200. Its totient is φ = 89162431488.

The previous prime is 226062444253. The next prime is 226062444299. The reversal of 226062444260 is 62444260622.

226062444260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260624442602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 377399441 + ... + 377400039.

It is an arithmetic number, because the mean of its divisors is an integer number (5014825200).

Almost surely, 2226062444260 is an apocalyptic number.

226062444260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226062444260 is an abundant number, since it is smaller than the sum of its proper divisors (255360774940).

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

226062444260 is a wasteful number, since it uses less digits than its factorization.

226062444260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 226062444260 in words is "two hundred twenty-six billion, sixty-two million, four hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 157 263 314 457 526 599 628 785 914 1052 1198 1315 1570 1828 2285 2396 2630 2995 3140 4570 5260 5990 9140 11980 41291 71749 82582 94043 120191 143498 157537 165164 188086 206455 240382 273743 286996 315074 358745 376172 412910 470215 480764 547486 600955 630148 717490 787685 825820 940430 1094972 1201910 1368715 1434980 1575370 1880860 2403820 2737430 3150740 5474860 18869987 24733309 37739974 42977651 49466618 71994409 75479948 85955302 94349935 98933236 123666545 143988818 171910604 188699870 214888255 247333090 287977636 359972045 377399740 429776510 494666180 719944090 859553020 1439888180 11303122213 22606244426 45212488852 56515611065 113031222130 226062444260