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2222406120 = 2335113154311
BaseRepresentation
bin1000010001110111…
…0011100111101000
312201212211221001210
42010131303213220
514022413443440
61004305513120
7106034066064
oct20435634750
95655757053
102222406120
11a40543680
125203427a0
1329557800c
14171230aa4
15d0195a80
hex847739e8

2222406120 has 128 divisors (see below), whose sum is σ = 7508090880. Its totient is φ = 521376000.

The previous prime is 2222406103. The next prime is 2222406127. The reversal of 2222406120 is 216042222.

2222406120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2222406127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13765 + ... + 68075.

It is an arithmetic number, because the mean of its divisors is an integer number (58656960).

Almost surely, 22222406120 is an apocalyptic number.

2222406120 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 2222406120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754045440).

2222406120 is an abundant number, since it is smaller than the sum of its proper divisors (5285684760).

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

2222406120 is a wasteful number, since it uses less digits than its factorization.

2222406120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54367 (or 54363 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2222406120 is about 47142.4025692370. The cubic root of 2222406120 is about 1304.9918761697.

Adding to 2222406120 its reverse (216042222), we get a palindrome (2438448342).

The spelling of 2222406120 in words is "two billion, two hundred twenty-two million, four hundred six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 54311 108622 162933 217244 271555 325866 434488 543110 597421 651732 814665 1086220 1194842 1303464 1629330 1683641 1792263 2172440 2389684 2987105 3258660 3367282 3584526 4779368 5050923 5974210 6517320 6734564 7169052 8418205 8961315 10101846 11948420 13469128 14338104 16836410 17922630 18520051 20203692 23896840 25254615 33672820 35845260 37040102 40407384 50509230 55560153 67345640 71690520 74080204 92600255 101018460 111120306 148160408 185200510 202036920 222240612 277800765 370401020 444481224 555601530 740802040 1111203060 2222406120