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2204053440 = 26356734267
BaseRepresentation
bin1000001101011111…
…0010111111000000
312200121022111220220
42003113302333000
514003214202230
61002412303040
7105422100531
oct20327627700
95617274826
102204053440
11a31148a76
12516171a80
13291820644
1416ca14688
15cd76cd10
hex835f2fc0

2204053440 has 112 divisors (see below), whose sum is σ = 7102522752. Its totient is φ = 578958336.

The previous prime is 2204053427. The next prime is 2204053457. The reversal of 2204053440 is 443504022.

2204053440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2204053440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47187 + ... + 81453.

Almost surely, 22204053440 is an apocalyptic number.

2204053440 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 2204053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551261376).

2204053440 is an abundant number, since it is smaller than the sum of its proper divisors (4898469312).

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

2204053440 is a wasteful number, since it uses less digits than its factorization.

2204053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34354 (or 34344 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2204053440 is about 46947.3475289073. The cubic root of 2204053440 is about 1301.3897248735.

Adding to 2204053440 its reverse (443504022), we get a palindrome (2647557462).

The spelling of 2204053440 in words is "two billion, two hundred four million, fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 34267 64320 68534 102801 137068 171335 205602 274136 342670 411204 514005 548272 685340 822408 1028010 1096544 1370680 1644816 2056020 2193088 2295889 2741360 3289632 4112040 4591778 5482720 6579264 6887667 8224080 9183556 10965440 11479445 13775334 16448160 18367112 22958890 27550668 32896320 34438335 36734224 45917780 55101336 68876670 73468448 91835560 110202672 137753340 146936896 183671120 220405344 275506680 367342240 440810688 551013360 734684480 1102026720 2204053440