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6223000221126 = 23213167608926153
BaseRepresentation
bin101101010001110011110…
…1101111011010111000110
3211000220122120210112022100
41122203213231323113012
51303424201024034001
621122450135412530
71211411514055353
oct132434755732706
924026576715270
106223000221126
111a8a183434167
12846086224146
13361a987b7970
141772a281962a
15abd1b762586
hex5a8e7b7b5c6

6223000221126 has 96 divisors (see below), whose sum is σ = 14610239542080. Its totient is φ = 1902918269952.

The previous prime is 6223000221101. The next prime is 6223000221287. The reversal of 6223000221126 is 6211220003226.

It is a happy number.

6223000221126 is a `hidden beast` number, since 622 + 3 + 0 + 0 + 0 + 2 + 2 + 11 + 26 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6223000221126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237932866 + ... + 237959018.

It is an arithmetic number, because the mean of its divisors is an integer number (152189995230).

Almost surely, 26223000221126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6223000221126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305119771040).

6223000221126 is an abundant number, since it is smaller than the sum of its proper divisors (8387239320954).

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

6223000221126 is a wasteful number, since it uses less digits than its factorization.

6223000221126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32430 (or 32427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 6223000221126 in words is "six trillion, two hundred twenty-three billion, two hundred twenty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 167 234 334 501 1002 1503 2171 3006 4342 6089 6513 12178 13026 18267 19539 26153 36534 39078 52306 54801 78459 79157 109602 156918 158314 235377 237471 339989 470754 474942 679978 712413 1016863 1019967 1424826 2033726 2039934 3050589 3059901 4367551 6101178 6119802 8735102 9151767 13102653 13219219 18303534 26205306 26438438 39307959 39657657 56778163 78615918 79315314 113556326 118972971 159245617 170334489 237945942 318491234 340668978 477736851 511003467 955473702 1022006934 1433210553 2070193021 2866421106 4140386042 6210579063 12421158126 18631737189 26594018039 37263474378 53188036078 79782054117 159564108234 239346162351 345722234507 478692324702 691444469014 1037166703521 2074333407042 3111500110563 6223000221126