Search a number
-
+
222321013012 = 227192941351469
BaseRepresentation
bin1100111100001101011…
…1010111000100010100
3210020211221012122001001
43033003113113010110
512120303134404022
6250044410513044
722030215300460
oct3170327270424
9706757178031
10222321013012
118631646369a
1237106a35784
1317c70818497
14aa907454a0
155bb2d62b27
hex33c35d7114

222321013012 has 96 divisors (see below), whose sum is σ = 495994464000. Its totient is φ = 85027138560.

The previous prime is 222321012967. The next prime is 222321013021. The reversal of 222321013012 is 210310123222.

222321013012 is digitally balanced in base 2 and base 3, because in such bases 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 (19).

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, 456814 + ... + 808282.

It is an arithmetic number, because the mean of its divisors is an integer number (5166609000).

Almost surely, 2222321013012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222321013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247997232000).

222321013012 is an abundant number, since it is smaller than the sum of its proper divisors (273673450988).

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

222321013012 is a wasteful number, since it uses less digits than its factorization.

222321013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351569 (or 351567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 222321013012 its reverse (210310123222), we get a palindrome (432631136234).

The spelling of 222321013012 in words is "two hundred twenty-two billion, three hundred twenty-one million, thirteen thousand, twelve".

Divisors: 1 2 4 7 14 19 28 29 38 41 58 76 82 116 133 164 203 266 287 406 532 551 574 779 812 1102 1148 1189 1558 2204 2378 3116 3857 4756 5453 7714 8323 10906 15428 16646 21812 22591 33292 45182 90364 158137 316274 351469 632548 702938 1405876 2460283 4920566 6677911 9841132 10192601 13355822 14410229 20385202 26711644 28820458 40770404 46745377 57640916 71348207 93490754 100871603 142696414 186981508 193659419 201743206 273794351 285392828 387318838 403486412 417896641 547588702 774637676 835793282 1095177404 1355615933 1671586564 1916560457 2711231866 2925276487 3833120914 5422463732 5850552974 7666241828 7940036179 11701105948 15880072358 31760144716 55580253253 111160506506 222321013012