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2240422620 = 2235197924877
BaseRepresentation
bin1000010110001010…
…0010001011011100
312210010202021001120
42011202202023130
514042022010440
61010152010540
7106343164242
oct20542421334
95703667046
102240422620
11a4a729747
12526390a50
13299215677
141737a0792
15d1a53dd0
hex858a22dc

2240422620 has 96 divisors (see below), whose sum is σ = 6687206400. Its totient is φ = 558814464.

The previous prime is 2240422619. The next prime is 2240422627. The reversal of 2240422620 is 262240422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240422627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77622 + ... + 102498.

It is an arithmetic number, because the mean of its divisors is an integer number (69658400).

Almost surely, 22240422620 is an apocalyptic number.

2240422620 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 2240422620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343603200).

2240422620 is an abundant number, since it is smaller than the sum of its proper divisors (4446783780).

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

2240422620 is a wasteful number, since it uses less digits than its factorization.

2240422620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987 (or 24985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2240422620 is about 47333.1027928658. The cubic root of 2240422620 is about 1308.5088056893.

The spelling of 2240422620 in words is "two billion, two hundred forty million, four hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 79 95 114 158 190 228 237 285 316 380 395 474 570 790 948 1140 1185 1501 1580 2370 3002 4503 4740 6004 7505 9006 15010 18012 22515 24877 30020 45030 49754 74631 90060 99508 124385 149262 248770 298524 373155 472663 497540 746310 945326 1417989 1492620 1890652 1965283 2363315 2835978 3930566 4726630 5671956 5895849 7089945 7861132 9453260 9826415 11791698 14179890 19652830 23583396 28359780 29479245 37340377 39305660 58958490 74680754 112021131 117916980 149361508 186701885 224042262 373403770 448084524 560105655 746807540 1120211310 2240422620