Search a number
-
+
2232315680 = 25573495711
BaseRepresentation
bin1000010100001110…
…0110111100100000
312202120111101102112
42011003212330200
514032433100210
61005302134452
7106214240660
oct20503467440
95676441375
102232315680
11a460a18a1
12523721428
1329763766a
141726901a0
15d0ea1d05
hex850e6f20

2232315680 has 96 divisors (see below), whose sum is σ = 6045580800. Its totient is φ = 763038720.

The previous prime is 2232315677. The next prime is 2232315727. The reversal of 2232315680 is 865132322.

It is a super-3 number, since 3×22323156803 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 388025 + ... + 393735.

It is an arithmetic number, because the mean of its divisors is an integer number (62974800).

Almost surely, 22232315680 is an apocalyptic number.

2232315680 is a gapful number since it is divisible by the number (20) 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 2232315680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022790400).

2232315680 is an abundant number, since it is smaller than the sum of its proper divisors (3813265120).

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

2232315680 is a wasteful number, since it uses less digits than its factorization.

2232315680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6074 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2232315680 is about 47247.3880759561. The cubic root of 2232315680 is about 1306.9286241886.

The spelling of 2232315680 in words is "two billion, two hundred thirty-two million, three hundred fifteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 349 560 698 1120 1396 1745 2443 2792 3490 4886 5584 5711 6980 9772 11168 11422 12215 13960 19544 22844 24430 27920 28555 39088 39977 45688 48860 55840 57110 78176 79954 91376 97720 114220 159908 182752 195440 199885 228440 319816 390880 399770 456880 639632 799540 913760 1279264 1599080 1993139 3198160 3986278 6396320 7972556 9965695 13951973 15945112 19931390 27903946 31890224 39862780 55807892 63780448 69759865 79725560 111615784 139519730 159451120 223231568 279039460 318902240 446463136 558078920 1116157840 2232315680