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2122204320 = 25335491251
BaseRepresentation
bin111111001111110…
…0100010010100000
312110220022011001000
41332133210102200
513321241014240
6550330112000
7103406303415
oct17637442240
95426264030
102122204320
11999a24575
124b287b600
1327a893702
14161bca10c
15c64a1430
hex7e7e44a0

2122204320 has 96 divisors (see below), whose sum is σ = 7427730240. Its totient is φ = 565920000.

The previous prime is 2122204303. The next prime is 2122204339. The reversal of 2122204320 is 234022212.

2122204320 is a `hidden beast` number, since 2 + 12 + 220 + 432 + 0 = 666.

2122204320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122204293 and 2122204302.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241306 + ... + 249945.

It is an arithmetic number, because the mean of its divisors is an integer number (77372190).

Almost surely, 22122204320 is an apocalyptic number.

2122204320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122204320 is an abundant number, since it is smaller than the sum of its proper divisors (5305525920).

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

2122204320 is a wasteful number, since it uses less digits than its factorization.

2122204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491275 (or 491261 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2122204320 is about 46067.3888993071. The cubic root of 2122204320 is about 1285.0767455059.

Adding to 2122204320 its reverse (234022212), we get a palindrome (2356226532).

The spelling of 2122204320 in words is "two billion, one hundred twenty-two million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 491251 982502 1473753 1965004 2456255 2947506 3930008 4421259 4912510 5895012 7368765 7860016 8842518 9825020 11790024 13263777 14737530 15720032 17685036 19650040 22106295 23580048 26527554 29475060 35370072 39300080 44212590 47160096 53055108 58950120 66318885 70740144 78600160 88425180 106110216 117900240 132637770 141480288 176850360 212220432 235800480 265275540 353700720 424440864 530551080 707401440 1061102160 2122204320