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2216142460 = 2257233112213
BaseRepresentation
bin1000010000010111…
…1010011001111100
312201110001200221101
42010011322121330
514014313024320
61003523342444
7105626620510
oct20405723174
95643050841
102216142460
11a37a556a4
1251a221a24
13294193ccc
14170480140
15ce859c0a
hex8417a67c

2216142460 has 96 divisors (see below), whose sum is σ = 5570353152. Its totient is φ = 724120320.

The previous prime is 2216142443. The next prime is 2216142473. The reversal of 2216142460 is 642416122.

It is a super-2 number, since 2×22161424602 = 9822574806029703200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1000314 + ... + 1002526.

It is an arithmetic number, because the mean of its divisors is an integer number (58024512).

Almost surely, 22216142460 is an apocalyptic number.

2216142460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216142460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785176576).

2216142460 is an abundant number, since it is smaller than the sum of its proper divisors (3354210692).

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

2216142460 is a wasteful number, since it uses less digits than its factorization.

2216142460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2216142460 is about 47075.9222957979. The cubic root of 2216142460 is about 1303.7647202132.

Adding to 2216142460 its reverse (642416122), we get a palindrome (2858558582).

The spelling of 2216142460 in words is "two billion, two hundred sixteen million, one hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 311 322 460 622 644 805 1244 1555 1610 2177 2213 3110 3220 4354 4426 6220 7153 8708 8852 10885 11065 14306 15491 21770 22130 28612 30982 35765 43540 44260 50071 50899 61964 71530 77455 100142 101798 143060 154910 200284 203596 250355 254495 309820 356293 500710 508990 688243 712586 1001420 1017980 1376486 1425172 1781465 2752972 3441215 3562930 4817701 6882430 7125860 9635402 13764860 15829589 19270804 24088505 31659178 48177010 63318356 79147945 96354020 110807123 158295890 221614246 316591780 443228492 554035615 1108071230 2216142460