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7222142460 = 22351322940433
BaseRepresentation
bin1101011100111100…
…10010010111111100
3200122022201211221210
412232132102113330
5104242332024320
63152351324420
7343654124631
oct65636222774
920568654853
107222142460
113076790585
121496820710
138b13438a0
144c7264188
152c40990e0
hex1ae7925fc

7222142460 has 96 divisors (see below), whose sum is σ = 21873176640. Its totient is φ = 1769951232.

The previous prime is 7222142437. The next prime is 7222142471. The reversal of 7222142460 is 642412227.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158404 + ... + 198836.

It is an arithmetic number, because the mean of its divisors is an integer number (227845590).

Almost surely, 27222142460 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 7222142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936588320).

7222142460 is an abundant number, since it is smaller than the sum of its proper divisors (14651034180).

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

7222142460 is a wasteful number, since it uses less digits than its factorization.

7222142460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40687 (or 40685 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 7222142460 is about 84983.1892788215. The cubic root of 7222142460 is about 1932.9562166411.

Adding to 7222142460 its reverse (642412227), we get a palindrome (7864554687).

The spelling of 7222142460 in words is "seven billion, two hundred twenty-two million, one hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 229 260 390 458 687 780 916 1145 1374 2290 2748 2977 3435 4580 5954 6870 8931 11908 13740 14885 17862 29770 35724 40433 44655 59540 80866 89310 121299 161732 178620 202165 242598 404330 485196 525629 606495 808660 1051258 1212990 1576887 2102516 2425980 2628145 3153774 5256290 6307548 7884435 9259157 10512580 15768870 18518314 27777471 31537740 37036628 46295785 55554942 92591570 111109884 120369041 138887355 185183140 240738082 277774710 361107123 481476164 555549420 601845205 722214246 1203690410 1444428492 1805535615 2407380820 3611071230 7222142460