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2220426516 = 22371112831873
BaseRepresentation
bin1000010001011001…
…0000010100010100
312201202010100120010
42010112100110110
514021412122031
61004155240220
7106011212460
oct20426202424
95652110503
102220426516
11a3a411340
1251b749070
13295033c59
14170c774a0
15cee04246
hex84590514

2220426516 has 96 divisors (see below), whose sum is σ = 6467908608. Its totient is φ = 575976960.

The previous prime is 2220426497. The next prime is 2220426529. The reversal of 2220426516 is 6156240222.

It is a happy number.

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, 1184556 + ... + 1186428.

It is an arithmetic number, because the mean of its divisors is an integer number (67374048).

Almost surely, 22220426516 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 2220426516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233954304).

2220426516 is an abundant number, since it is smaller than the sum of its proper divisors (4247482092).

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

2220426516 is a wasteful number, since it uses less digits than its factorization.

2220426516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2220426516 is about 47121.4018891628. The cubic root of 2220426516 is about 1304.6042880600.

Adding to 2220426516 its reverse (6156240222), we get a palindrome (8376666738).

The spelling of 2220426516 in words is "two billion, two hundred twenty million, four hundred twenty-six thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1283 1873 2566 3746 3849 5132 5619 7492 7698 8981 11238 13111 14113 15396 17962 20603 22476 26222 26943 28226 35924 39333 41206 42339 52444 53886 56452 61809 78666 82412 84678 98791 107772 123618 144221 157332 169356 197582 247236 288442 296373 395164 432663 576884 592746 865326 1185492 1730652 2403059 4806118 7209177 9612236 14418354 16821413 26433649 28836708 33642826 50464239 52867298 67285652 79300947 100928478 105734596 158601894 185035543 201856956 317203788 370071086 555106629 740142172 1110213258 2220426516