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4422140240 = 245723473251
BaseRepresentation
bin1000001111001010…
…01000000101010000
3102102012000222222212
410013211020011100
533024031441430
62010445451252
7214404400100
oct40745100520
912365028885
104422140240
11196a201461
12a34b70b28
1355621563b
142dd43d200
151ad35db95
hex107948150

4422140240 has 120 divisors (see below), whose sum is σ = 11998240992. Its totient is φ = 1511328000.

The previous prime is 4422140213. The next prime is 4422140243. The reversal of 4422140240 is 420412244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422140243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358615 + ... + 1361865.

Almost surely, 24422140240 is an apocalyptic number.

4422140240 is a gapful number since it is divisible by the number (40) 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 4422140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999120496).

4422140240 is an abundant number, since it is smaller than the sum of its proper divisors (7576100752).

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

4422140240 is a wasteful number, since it uses less digits than its factorization.

4422140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4422140240 is about 66499.1747317213. The cubic root of 4422140240 is about 1641.3864242821.

Adding to 4422140240 its reverse (420412244), we get a palindrome (4842552484).

The spelling of 4422140240 in words is "four billion, four hundred twenty-two million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 347 392 490 560 694 784 980 1388 1735 1960 2429 2776 3251 3470 3920 4858 5552 6502 6940 9716 12145 13004 13880 16255 17003 19432 22757 24290 26008 27760 32510 34006 38864 45514 48580 52016 65020 68012 85015 91028 97160 113785 130040 136024 159299 170030 182056 194320 227570 260080 272048 318598 340060 364112 455140 637196 680120 796495 910280 1128097 1274392 1360240 1592990 1820560 2256194 2548784 3185980 4512388 5640485 6371960 7896679 9024776 11280970 12743920 15793358 18049552 22561940 31586716 39483395 45123880 55276753 63173432 78966790 90247760 110553506 126346864 157933580 221107012 276383765 315867160 442214024 552767530 631734320 884428048 1105535060 2211070120 4422140240