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2242304340 = 2235375411867
BaseRepresentation
bin1000010110100110…
…1101100101010100
312210021021212021220
42011221231211110
514043012214330
61010300210340
7106365162303
oct20551554524
95707255256
102242304340
11a507a4491
12526b399b0
13299724003
14173b3043a
15d1cc6710
hex85a6d954

2242304340 has 96 divisors (see below), whose sum is σ = 6463519104. Its totient is φ = 580400640.

The previous prime is 2242304329. The next prime is 2242304353. The reversal of 2242304340 is 434032422.

It is a self number, because there is not a number n which added to its sum of digits gives 2242304340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200087 + ... + 1201953.

It is an arithmetic number, because the mean of its divisors is an integer number (67328324).

Almost surely, 22242304340 is an apocalyptic number.

2242304340 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 2242304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231759552).

2242304340 is an abundant number, since it is smaller than the sum of its proper divisors (4221214764).

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

2242304340 is a wasteful number, since it uses less digits than its factorization.

2242304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2242304340 is about 47352.9760416386. The cubic root of 2242304340 is about 1308.8750398909.

Adding to 2242304340 its reverse (434032422), we get a palindrome (2676336762).

The spelling of 2242304340 in words is "two billion, two hundred forty-two million, three hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 541 555 740 1082 1110 1623 1867 2164 2220 2705 3246 3734 5410 5601 6492 7468 8115 9335 10820 11202 16230 18670 20017 22404 28005 32460 37340 40034 56010 60051 69079 80068 100085 112020 120102 138158 200170 207237 240204 276316 300255 345395 400340 414474 600510 690790 828948 1010047 1036185 1201020 1381580 2020094 2072370 3030141 4040188 4144740 5050235 6060282 10100470 12120564 15150705 20200940 30301410 37371739 60602820 74743478 112115217 149486956 186858695 224230434 373717390 448460868 560576085 747434780 1121152170 2242304340