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222104220240 = 24357942114033
BaseRepresentation
bin1100111011011001110…
…0010111001001010000
3210020021211021102021010
43032312130113021100
512114332140021430
6250011104130520
722021643502540
oct3166634271120
9706254242233
10222104220240
1186215051011
1237066306a40
1317c37931836
14aa6da31320
155b9dcdccb0
hex33b6717250

222104220240 has 160 divisors (see below), whose sum is σ = 787023127296. Its totient is φ = 50757672960.

The previous prime is 222104220211. The next prime is 222104220271. The reversal of 222104220240 is 42022401222.

222104220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15820264 + ... + 15834296.

Almost surely, 2222104220240 is an apocalyptic number.

222104220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222104220240 is an abundant number, since it is smaller than the sum of its proper divisors (564918907056).

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

222104220240 is a wasteful number, since it uses less digits than its factorization.

222104220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23477 (or 23471 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 222104220240 its reverse (42022401222), we get a palindrome (264126621462).

The spelling of 222104220240 in words is "two hundred twenty-two billion, one hundred four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 9421 14033 18842 28066 28263 37684 42099 47105 56132 56526 65947 70165 75368 84198 94210 98231 112264 113052 131894 140330 141315 150736 168396 188420 196462 197841 210495 224528 226104 263788 280660 282630 294693 329735 336792 376840 392924 395682 420990 452208 491155 527576 561320 565260 589386 659470 673584 753680 785848 791364 841980 982310 989205 1055152 1122640 1130520 1178772 1318940 1473465 1571696 1582728 1683960 1964620 1978410 2261040 2357544 2637880 2946930 3165456 3367920 3929240 3956820 4715088 5275760 5893860 7858480 7913640 11787720 15827280 23575440 132204893 264409786 396614679 528819572 661024465 793229358 925434251 1057639144 1322048930 1586458716 1850868502 1983073395 2115278288 2644097860 2776302753 3172917432 3701737004 3966146790 4627171255 5288195720 5552605506 6345834864 7403474008 7932293580 9254342510 10576391440 11105211012 13881513765 14806948016 15864587160 18508685020 22210422024 27763027530 31729174320 37017370040 44420844048 55526055060 74034740080 111052110120 222104220240