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2231806564 = 22132232792
BaseRepresentation
bin1000010100000110…
…1010101001100100
312202112112112001101
42011001222221210
514032320302224
61005243205444
7106210020451
oct20501525144
95675475041
102231806564
11a45884339
12523516884
132974b9a00
1417259a828
15d0e01044
hex8506aa64

2231806564 has 81 divisors (see below), whose sum is σ = 4477752153. Its totient is φ = 972807264.

The previous prime is 2231806559. The next prime is 2231806601. The reversal of 2231806564 is 4656081322.

The square root of 2231806564 is 47242.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 330148900 + 1901657664 = 18170^2 + 43608^2 .

It is a super-3 number, since 3×22318065643 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28250677 + ... + 28250755.

Almost surely, 22231806564 is an apocalyptic number.

2231806564 is the 47242-nd square number.

It is an amenable number.

2231806564 is an abundant number, since it is smaller than the sum of its proper divisors (2245945589).

2231806564 is a wasteful number, since it uses less digits than its factorization.

2231806564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 2231806564 is about 1306.8292611715.

Adding to 2231806564 its reverse (4656081322), we get a palindrome (6887887886).

The spelling of 2231806564 in words is "two billion, two hundred thirty-one million, eight hundred six thousand, five hundred sixty-four".

Divisors: 1 2 4 13 23 26 46 52 79 92 158 169 299 316 338 529 598 676 1027 1058 1196 1817 2054 2116 3634 3887 4108 6241 6877 7268 7774 12482 13351 13754 15548 23621 24964 26702 27508 41791 47242 53404 81133 83582 89401 94484 143543 162266 167164 178802 287086 307073 324532 357604 543283 574172 614146 1054729 1086566 1228292 1866059 2109458 2173132 3301489 3732118 4218916 6602978 7062679 7464236 13205956 14125358 24258767 28250716 42919357 48517534 85838714 97035068 171677428 557951641 1115903282 2231806564