Search a number
-
+
2232563608 = 2311292233923
BaseRepresentation
bin1000010100010010…
…0011011110011000
312202120221222112001
42011010203132120
514033014013413
61005311330344
7106216322542
oct20504433630
95676858461
102232563608
11a462510a0
125238209b4
132976c3472
14172716692
15d10004dd
hex85123798

2232563608 has 64 divisors (see below), whose sum is σ = 4746470400. Its totient is φ = 975166080.

The previous prime is 2232563587. The next prime is 2232563633. The reversal of 2232563608 is 8063652322.

It is a super-3 number, since 3×22325636083 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 567135 + ... + 571057.

It is an arithmetic number, because the mean of its divisors is an integer number (74163600).

Almost surely, 22232563608 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 2232563608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373235200).

2232563608 is an abundant number, since it is smaller than the sum of its proper divisors (2513906792).

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

2232563608 is a wasteful number, since it uses less digits than its factorization.

2232563608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2232563608 is about 47250.0117248663. The cubic root of 2232563608 is about 1306.9770062653.

The spelling of 2232563608 in words is "two billion, two hundred thirty-two million, five hundred sixty-three thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 223 232 319 446 638 892 1276 1784 2453 2552 3923 4906 6467 7846 9812 12934 15692 19624 25868 31384 43153 51736 71137 86306 113767 142274 172612 227534 284548 345224 455068 569096 874829 910136 1251437 1749658 2502874 3499316 5005748 6998632 9623119 10011496 19246238 25370041 38492476 50740082 76984952 101480164 202960328 279070451 558140902 1116281804 2232563608