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2204130264 = 233719236343
BaseRepresentation
bin1000001101100000…
…0101101111011000
312200121110102022020
42003120011233120
514003224132024
61002414054440
7105422540520
oct20330055730
95617412266
102204130264
11a311a0766
125161aa420
132918495bb
1416ca34680
15cd785979
hex83605bd8

2204130264 has 96 divisors (see below), whose sum is σ = 6646590720. Its totient is φ = 596590272.

The previous prime is 2204130251. The next prime is 2204130277. The reversal of 2204130264 is 4620314022.

It is an interprime number because it is at equal distance from previous prime (2204130251) and next prime (2204130277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42477 + ... + 78819.

It is an arithmetic number, because the mean of its divisors is an integer number (69235320).

Almost surely, 22204130264 is an apocalyptic number.

2204130264 is a gapful number since it is divisible by the number (24) 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 2204130264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323295360).

2204130264 is an abundant number, since it is smaller than the sum of its proper divisors (4442460456).

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

2204130264 is a wasteful number, since it uses less digits than its factorization.

2204130264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36397 (or 36374 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2204130264 is about 46948.1657149670. The cubic root of 2204130264 is about 1301.4048450154.

Adding to 2204130264 its reverse (4620314022), we get a palindrome (6824444286).

The spelling of 2204130264 in words is "two billion, two hundred four million, one hundred thirty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 361 399 456 532 722 798 1064 1083 1444 1596 2166 2527 2888 3192 4332 5054 7581 8664 10108 15162 20216 30324 36343 60648 72686 109029 145372 218058 254401 290744 436116 508802 690517 763203 872232 1017604 1381034 1526406 2035208 2071551 2762068 3052812 4143102 4833619 5524136 6105624 8286204 9667238 13119823 14500857 16572408 19334476 26239646 29001714 38668952 39359469 52479292 58003428 78718938 91838761 104958584 116006856 157437876 183677522 275516283 314875752 367355044 551032566 734710088 1102065132 2204130264