Search a number
-
+
2232092671120 = 245132393314911
BaseRepresentation
bin100000011110110011000…
…101110011110010010000
321220101102101011010221101
4200132303011303302100
5243032311210433440
64425224220234144
7320156223441634
oct40366305636220
97811371133841
102232092671120
11790697138884
1230071739b954
1313264066b670
147a068cb8dc4
153d0ddb4669a
hex207b3173c90

2232092671120 has 80 divisors (see below), whose sum is σ = 5831808740352. Its totient is φ = 788324359680.

The previous prime is 2232092671087. The next prime is 2232092671153. The reversal of 2232092671120 is 211762902322.

It is an interprime number because it is at equal distance from previous prime (2232092671087) and next prime (2232092671153).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22320926711203 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2232092671120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46633536 + ... + 46681375.

Almost surely, 22232092671120 is an apocalyptic number.

2232092671120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232092671120 is an abundant number, since it is smaller than the sum of its proper divisors (3599716069232).

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

2232092671120 is a wasteful number, since it uses less digits than its factorization.

2232092671120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93314960 (or 93314954 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 2232092671120 in words is "two trillion, two hundred thirty-two billion, ninety-two million, six hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4784 5980 11960 23920 93314911 186629822 373259644 466574555 746519288 933149110 1213093843 1493038576 1866298220 2146242953 2426187686 3732596440 4292485906 4852375372 6065469215 7465192880 8584971812 9704750744 10731214765 12130938430 17169943624 19409501488 21462429530 24261876860 27901158389 34339887248 42924859060 48523753720 55802316778 85849718120 97047507440 111604633556 139505791945 171699436240 223209267112 279011583890 446418534224 558023167780 1116046335560 2232092671120