Search a number
-
+
2222231440 = 2451113474133
BaseRepresentation
bin1000010001110100…
…1000111110010000
312201212112001110011
42010131020332100
514022342401230
61004302044304
7106032440602
oct20435107620
95655461404
102222231440
11a40434410
12520279694
13295516660
141711c7172
15d015de2a
hex84748f90

2222231440 has 160 divisors (see below), whose sum is σ = 6200603136. Its totient is φ = 729876480.

The previous prime is 2222231437. The next prime is 2222231441. The reversal of 2222231440 is 441322222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2222231441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 535614 + ... + 539746.

Almost surely, 22222231440 is an apocalyptic number.

2222231440 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 2222231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100301568).

2222231440 is an abundant number, since it is smaller than the sum of its proper divisors (3978371696).

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

2222231440 is a wasteful number, since it uses less digits than its factorization.

2222231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4217 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2222231440 is about 47140.5498482994. The cubic root of 2222231440 is about 1304.9576847061.

Adding to 2222231440 its reverse (441322222), we get a palindrome (2663553662).

The spelling of 2222231440 in words is "two billion, two hundred twenty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 47 52 55 65 80 88 94 104 110 130 143 176 188 208 220 235 260 286 376 440 470 517 520 572 611 715 752 880 940 1034 1040 1144 1222 1430 1880 2068 2288 2444 2585 2860 3055 3760 4133 4136 4888 5170 5720 6110 6721 8266 8272 9776 10340 11440 12220 13442 16532 20665 20680 24440 26884 33064 33605 41330 41360 45463 48880 53729 53768 66128 67210 82660 90926 107458 107536 134420 165320 181852 194251 214916 227315 268645 268840 330640 363704 388502 429832 454630 537290 537680 591019 727408 777004 859664 909260 971255 1074580 1182038 1554008 1818520 1942510 2136761 2149160 2364076 2525263 2955095 3108016 3637040 3885020 4273522 4298320 4728152 5050526 5910190 7770040 8547044 9456304 10101052 10683805 11820380 12626315 15540080 17094088 20202104 21367610 23640760 25252630 27777893 34188176 40404208 42735220 47281520 50505260 55555786 85470440 101010520 111111572 138889465 170940880 202021040 222223144 277778930 444446288 555557860 1111115720 2222231440