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2232060064 = 251322711523
BaseRepresentation
bin1000010100001010…
…1000100010100000
312202120000101210021
42011002220202200
514032401410224
61005252443224
7106212124513
oct20502504240
95676011707
102232060064
11a45a37843
12523619514
13297578200
14172624d7a
15d0e511e4
hex850a88a0

2232060064 has 72 divisors (see below), whose sum is σ = 4779093312. Its totient is φ = 1025706240.

The previous prime is 2232060059. The next prime is 2232060071. The reversal of 2232060064 is 4600602322.

It is a happy number.

It is a super-3 number, since 3×22320600643 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1464807 + ... + 1466329.

It is an arithmetic number, because the mean of its divisors is an integer number (66376296).

Almost surely, 22232060064 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 2232060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389546656).

2232060064 is an abundant number, since it is smaller than the sum of its proper divisors (2547033248).

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

2232060064 is a wasteful number, since it uses less digits than its factorization.

2232060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2232060064 is about 47244.6829177633. The cubic root of 2232060064 is about 1306.8787380812.

Adding to 2232060064 its reverse (4600602322), we get a palindrome (6832662386).

The spelling of 2232060064 in words is "two billion, two hundred thirty-two million, sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 271 338 416 542 676 1084 1352 1523 2168 2704 3046 3523 4336 5408 6092 7046 8672 12184 14092 19799 24368 28184 39598 45799 48736 56368 79196 91598 112736 158392 183196 257387 316784 366392 412733 514774 633568 732784 825466 1029548 1465568 1650932 2059096 3301864 4118192 5365529 6603728 8236384 10731058 13207456 21462116 42924232 69751877 85848464 139503754 171696928 279007508 558015016 1116030032 2232060064