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2203231140 = 22325117691447
BaseRepresentation
bin1000001101010010…
…1010001110100100
312200112202201221100
42003110222032210
514003011344030
61002342520100
7105412104255
oct20324521644
95615681840
102203231140
11a30737190
12515a36030
132915c3286
1416c87cb2c
15cd659360
hex8352a3a4

2203231140 has 144 divisors (see below), whose sum is σ = 7305217920. Its totient is φ = 533053440.

The previous prime is 2203231139. The next prime is 2203231153. The reversal of 2203231140 is 411323022.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 1521897 + ... + 1523343.

It is an arithmetic number, because the mean of its divisors is an integer number (50730680).

Almost surely, 22203231140 is an apocalyptic number.

2203231140 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 2203231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652608960).

2203231140 is an abundant number, since it is smaller than the sum of its proper divisors (5101986780).

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

2203231140 is a wasteful number, since it uses less digits than its factorization.

2203231140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2203231140 is about 46938.5890286447. The cubic root of 2203231140 is about 1301.2278616049.

Adding to 2203231140 its reverse (411323022), we get a palindrome (2614554162).

The spelling of 2203231140 in words is "two billion, two hundred three million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 769 990 1447 1538 1980 2307 2894 3076 3845 4341 4614 5788 6921 7235 7690 8459 8682 9228 11535 13023 13842 14470 15380 15917 16918 17364 21705 23070 25377 26046 27684 28940 31834 33836 34605 42295 43410 46140 47751 50754 52092 63668 65115 69210 76131 79585 84590 86820 95502 101508 126885 130230 138420 143253 152262 159170 169180 191004 238755 253770 260460 286506 304524 318340 380655 477510 507540 573012 716265 761310 955020 1112743 1432530 1522620 2225486 2865060 3338229 4450972 5563715 6676458 10014687 11127430 12240173 13352916 16691145 20029374 22254860 24480346 33382290 36720519 40058748 48960692 50073435 61200865 66764580 73441038 100146870 110161557 122401730 146882076 183602595 200293740 220323114 244803460 367205190 440646228 550807785 734410380 1101615570 2203231140