Search a number
-
+
222134043420 = 223252116358313
BaseRepresentation
bin1100111011100000111…
…0001000001100011100
3210020100220101120222100
43032320032020030130
512114412303342140
6250014051245100
722022455133562
oct3167016101434
9706326346870
10222134043420
118622a970673
12370742a9790
1317c40b741a3
14aa73995a32
155ba172e530
hex33b838831c

222134043420 has 72 divisors (see below), whose sum is σ = 673849992816. Its totient is φ = 59231930112.

The previous prime is 222134043389. The next prime is 222134043437. The reversal of 222134043420 is 24340431222.

222134043420 is a `hidden beast` number, since 2 + 2 + 213 + 404 + 3 + 42 + 0 = 666.

It is a super-2 number, since 2×2221340434202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3780184 + ... + 3838496.

It is an arithmetic number, because the mean of its divisors is an integer number (9359027678).

Almost surely, 2222134043420 is an apocalyptic number.

222134043420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222134043420 is an abundant number, since it is smaller than the sum of its proper divisors (451715949396).

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

222134043420 is a wasteful number, since it uses less digits than its factorization.

222134043420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79491 (or 79486 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 222134043420 its reverse (24340431222), we get a palindrome (246474474642).

The spelling of 222134043420 in words is "two hundred twenty-two billion, one hundred thirty-four million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21163 42326 58313 63489 84652 105815 116626 126978 174939 190467 211630 233252 253956 291565 317445 349878 380934 423260 524817 583130 634890 699756 761868 874695 952335 1049634 1166260 1269780 1749390 1904670 2099268 2624085 3498780 3809340 5248170 10496340 1234078019 2468156038 3702234057 4936312076 6170390095 7404468114 11106702171 12340780190 14808936228 18511170285 22213404342 24681560380 37022340570 44426808684 55533510855 74044681140 111067021710 222134043420