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224213442012 = 223372231329949
BaseRepresentation
bin1101000011010000101…
…0011001110111011100
3210102201211010222121000
43100310022121313130
512133142120121022
6251000252110300
722125134545260
oct3206412316734
9712654128530
10224213442012
11870a77085aa
1237554765390
13181b28cac61
14abcdbdc0a0
155c740776ac
hex3434299ddc

224213442012 has 96 divisors (see below), whose sum is σ = 667315712000. Its totient is φ = 63773666496.

The previous prime is 224213441941. The next prime is 224213442023. The reversal of 224213442012 is 210244312422.

It is a happy number.

224213442012 is a `hidden beast` number, since 2 + 2 + 4 + 213 + 442 + 0 + 1 + 2 = 666.

224213442012 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 (27).

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, 496387 + ... + 833562.

Almost surely, 2224213442012 is an apocalyptic number.

It is an amenable number.

224213442012 is an abundant number, since it is smaller than the sum of its proper divisors (443102269988).

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

224213442012 is a wasteful number, since it uses less digits than its factorization.

224213442012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330192 (or 1330184 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 224213442012 its reverse (210244312422), we get a palindrome (434457754434).

The spelling of 224213442012 in words is "two hundred twenty-four billion, two hundred thirteen million, four hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 223 252 378 446 669 756 892 1338 1561 2007 2676 3122 4014 4683 6021 6244 8028 9366 12042 14049 18732 24084 28098 42147 56196 84294 168588 1329949 2659898 3989847 5319796 7979694 9309643 11969541 15959388 18619286 23939082 27928929 35908623 37238572 47878164 55857858 71817246 83786787 111715716 143634492 167573574 251360361 296578627 335147148 502720722 593157254 889735881 1005441444 1186314508 1779471762 2076050389 2669207643 3558943524 4152100778 5338415286 6228151167 8007622929 8304201556 10676830572 12456302334 16015245858 18684453501 24912604668 32030491716 37368907002 56053360503 74737814004 112106721006 224213442012