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2122196220 = 223352924673
BaseRepresentation
bin111111001111110…
…0010010011111100
312110220021201221000
41332133202103330
513321240234340
6550330010300
7103406240664
oct17637422374
95426251830
102122196220
11999a19481
124b2876990
1327a88cb11
14161bc71a4
15c649dd30
hex7e7e24fc

2122196220 has 144 divisors (see below), whose sum is σ = 6839370720. Its totient is φ = 546287616.

The previous prime is 2122196147. The next prime is 2122196231. The reversal of 2122196220 is 226912212.

It is a happy number.

2122196220 is a `hidden beast` number, since 2 + 1 + 22 + 19 + 622 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451804 + ... + 456476.

It is an arithmetic number, because the mean of its divisors is an integer number (47495630).

Almost surely, 22122196220 is an apocalyptic number.

2122196220 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 2122196220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419685360).

2122196220 is an abundant number, since it is smaller than the sum of its proper divisors (4717174500).

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

2122196220 is a wasteful number, since it uses less digits than its factorization.

2122196220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4749 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2122196220 is about 46067.3009845378. The cubic root of 2122196220 is about 1285.0751105495.

The spelling of 2122196220 in words is "two billion, one hundred twenty-two million, one hundred ninety-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 841 870 1044 1305 1566 1682 1740 2523 2610 3132 3364 3915 4205 4673 5046 5220 7569 7830 8410 9346 10092 12615 14019 15138 15660 16820 18692 22707 23365 25230 28038 30276 37845 42057 45414 46730 50460 56076 70095 75690 84114 90828 93460 113535 126171 135517 140190 151380 168228 210285 227070 252342 271034 280380 406551 420570 454140 504684 542068 630855 677585 813102 841140 1219653 1261710 1355170 1626204 2032755 2439306 2523420 2710340 3658959 3929993 4065510 4878612 6098265 7317918 7859986 8131020 11789979 12196530 14635836 15719972 18294795 19649965 23579958 24393060 35369937 36589590 39299930 47159916 58949895 70739874 73179180 78599860 106109811 117899790 141479748 176849685 212219622 235799580 353699370 424439244 530549055 707398740 1061098110 2122196220