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2231564104 = 2371135910091
BaseRepresentation
bin1000010100000010…
…1111011101001000
312202112002012110101
42011000233131020
514032240022404
61005234055144
7106204660540
oct20500573510
95675065411
102231564104
11a45729160
1252341a4b4
13297433543
14172536320
15d0da42a4
hex8502f748

2231564104 has 64 divisors (see below), whose sum is σ = 5231692800. Its totient is φ = 866932800.

The previous prime is 2231564087. The next prime is 2231564107. The reversal of 2231564104 is 4014651322.

It is a super-3 number, since 3×22315641043 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (2231564107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216099 + ... + 226189.

It is an arithmetic number, because the mean of its divisors is an integer number (81745200).

Almost surely, 22231564104 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 2231564104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615846400).

2231564104 is an abundant number, since it is smaller than the sum of its proper divisors (3000128696).

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

2231564104 is a wasteful number, since it uses less digits than its factorization.

2231564104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10474 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2231564104 is about 47239.4337815347. The cubic root of 2231564104 is about 1306.7819354904.

The spelling of 2231564104 in words is "two billion, two hundred thirty-one million, five hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 359 616 718 1436 2513 2872 3949 5026 7898 10052 10091 15796 20104 20182 27643 31592 40364 55286 70637 80728 110572 111001 141274 221144 222002 282548 444004 565096 777007 888008 1554014 3108028 3622669 6216056 7245338 14490676 25358683 28981352 39849359 50717366 79698718 101434732 159397436 202869464 278945513 318794872 557891026 1115782052 2231564104