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2229835344 = 243115098297
BaseRepresentation
bin1000010011101000…
…1001011001010000
312202101211101001020
42010322021121100
514031314212334
61005133035440
7106154200452
oct20472113120
95671741036
102229835344
11a44758330
12522925b80
13296c796c9
141722062d2
15d0b61e49
hex84e89650

2229835344 has 80 divisors (see below), whose sum is σ = 6297186240. Its totient is φ = 674298880.

The previous prime is 2229835339. The next prime is 2229835351. The reversal of 2229835344 is 4435389222.

It is a super-2 number, since 2×22298353442 = 9944331322703196672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2229835296 and 2229835305.

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, 264604 + ... + 272900.

It is an arithmetic number, because the mean of its divisors is an integer number (78714828).

Almost surely, 22229835344 is an apocalyptic number.

2229835344 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 2229835344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148593120).

2229835344 is an abundant number, since it is smaller than the sum of its proper divisors (4067350896).

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

2229835344 is a wasteful number, since it uses less digits than its factorization.

2229835344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8822 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 2229835344 is about 47221.1323879468. The cubic root of 2229835344 is about 1306.4444000441. Note that the first 4 decimals are identical.

The spelling of 2229835344 in words is "two billion, two hundred twenty-nine million, eight hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 509 528 1018 1527 2036 3054 4072 5599 6108 8144 8297 11198 12216 16594 16797 22396 24432 24891 33188 33594 44792 49782 66376 67188 89584 91267 99564 132752 134376 182534 199128 268752 273801 365068 398256 547602 730136 1095204 1460272 2190408 4223173 4380816 8446346 12669519 16892692 25339038 33785384 46454903 50678076 67570768 92909806 101356152 139364709 185819612 202712304 278729418 371639224 557458836 743278448 1114917672 2229835344