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2244470040 = 2333515113763
BaseRepresentation
bin1000010111000111…
…1110010100011000
312210102100220002000
42011301332110120
514044041020130
61010414441000
7106422452301
oct20561762430
95712326060
102244470040
11a51a4361a
12527803160
1329a0019a7
141741357a8
15d20a3260
hex85c7e518

2244470040 has 128 divisors (see below), whose sum is σ = 7531660800. Its totient is φ = 594518400.

The previous prime is 2244470021. The next prime is 2244470077. The reversal of 2244470040 is 400744422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2244469986 and 2244470013.

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, 156199 + ... + 169961.

It is an arithmetic number, because the mean of its divisors is an integer number (58841100).

Almost surely, 22244470040 is an apocalyptic number.

2244470040 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 2244470040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765830400).

2244470040 is an abundant number, since it is smaller than the sum of its proper divisors (5287190760).

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

2244470040 is a wasteful number, since it uses less digits than its factorization.

2244470040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13924 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2244470040 is about 47375.8381456202. The cubic root of 2244470040 is about 1309.2962908507.

The spelling of 2244470040 in words is "two billion, two hundred forty-four million, four hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 151 180 216 270 302 360 453 540 604 755 906 1080 1208 1359 1510 1812 2265 2718 3020 3624 4077 4530 5436 6040 6795 8154 9060 10872 13590 13763 16308 18120 20385 27180 27526 32616 40770 41289 54360 55052 68815 81540 82578 110104 123867 137630 163080 165156 206445 247734 275260 330312 371601 412890 495468 550520 619335 743202 825780 990936 1238670 1486404 1651560 1858005 2078213 2477340 2972808 3716010 4156426 4954680 6234639 7432020 8312852 10391065 12469278 14864040 16625704 18703917 20782130 24938556 31173195 37407834 41564260 49877112 56111751 62346390 74815668 83128520 93519585 112223502 124692780 149631336 187039170 224447004 249385560 280558755 374078340 448894008 561117510 748156680 1122235020 2244470040