Search a number
-
+
2232058668 = 223719273607
BaseRepresentation
bin1000010100001010…
…1000001100101100
312202120000022212120
42011002220030230
514032401334133
61005252432540
7106212120450
oct20502501454
95676008776
102232058668
11a45a36794
12523618750
13297577698
14172624660
15d0e50ab3
hex850a832c

2232058668 has 72 divisors (see below), whose sum is σ = 6282001152. Its totient is φ = 604158048.

The previous prime is 2232058651. The next prime is 2232058681. The reversal of 2232058668 is 8668502322.

It is a super-3 number, since 3×22320586683 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6480 + ... + 67127.

It is an arithmetic number, because the mean of its divisors is an integer number (87250016).

Almost surely, 22232058668 is an apocalyptic number.

2232058668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232058668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141000576).

2232058668 is an abundant number, since it is smaller than the sum of its proper divisors (4049942484).

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

2232058668 is a wasteful number, since it uses less digits than its factorization.

2232058668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73659 (or 73638 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2232058668 is about 47244.6681436117. The cubic root of 2232058668 is about 1306.8784656269.

The spelling of 2232058668 in words is "two billion, two hundred thirty-two million, fifty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1596 2166 2527 4332 5054 7581 10108 15162 30324 73607 147214 220821 294428 441642 515249 883284 1030498 1398533 1545747 2060996 2797066 3091494 4195599 5594132 6182988 8391198 9789731 16782396 19579462 26572127 29369193 39158924 53144254 58738386 79716381 106288508 117476772 159432762 186004889 318865524 372009778 558014667 744019556 1116029334 2232058668