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2203234040 = 235724723917
BaseRepresentation
bin1000001101010010…
…1010111011111000
312200112202212220202
42003110222323320
514003011442130
61002342541332
7105412115600
oct20324527370
95615685822
102203234040
11a30739387
12515a37848
132915c46a7
1416c87dc00
15cd65a145
hex8352aef8

2203234040 has 96 divisors (see below), whose sum is σ = 5889568320. Its totient is φ = 739291392.

The previous prime is 2203234039. The next prime is 2203234049. The reversal of 2203234040 is 404323022.

2203234040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2203234049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80162 + ... + 104078.

It is an arithmetic number, because the mean of its divisors is an integer number (61349670).

Almost surely, 22203234040 is an apocalyptic number.

2203234040 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 2203234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944784160).

2203234040 is an abundant number, since it is smaller than the sum of its proper divisors (3686334280).

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

2203234040 is a wasteful number, since it uses less digits than its factorization.

2203234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23989 (or 23978 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2203234040 is about 46938.6199200616. The cubic root of 2203234040 is about 1301.2284325178.

Adding to 2203234040 its reverse (404323022), we get a palindrome (2607557062).

The spelling of 2203234040 in words is "two billion, two hundred three million, two hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 49 56 70 94 98 140 188 196 235 245 280 329 376 392 470 490 658 940 980 1316 1645 1880 1960 2303 2632 3290 4606 6580 9212 11515 13160 18424 23030 23917 46060 47834 92120 95668 119585 167419 191336 239170 334838 478340 669676 837095 956680 1124099 1171933 1339352 1674190 2248198 2343866 3348380 4496396 4687732 5620495 5859665 6696760 7868693 8992792 9375464 11240990 11719330 15737386 22481980 23438660 31474772 39343465 44963960 46877320 55080851 62949544 78686930 110161702 157373860 220323404 275404255 314747720 440646808 550808510 1101617020 2203234040