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42224233212 = 22327672500843
BaseRepresentation
bin100111010100110000…
…101010101011111100
311000222200100021212100
4213110300222223330
51142433400430322
631221511505100
73023233026510
oct472460525374
9130880307770
1042224233212
11169a852a407
128224988190
133c9bb1a0a5
142087b56140
151171ddddac
hex9d4c2aafc

42224233212 has 72 divisors (see below), whose sum is σ = 123801781376. Its totient is φ = 11884001184.

The previous prime is 42224233211. The next prime is 42224233213. The reversal of 42224233212 is 21233242224.

42224233212 is a `hidden beast` number, since 4 + 2 + 22 + 423 + 3 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (42224233211) and next prime (42224233213).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42224233211) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1233538 + ... + 1267305.

Almost surely, 242224233212 is an apocalyptic number.

42224233212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42224233212 is an abundant number, since it is smaller than the sum of its proper divisors (81577548164).

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

42224233212 is a wasteful number, since it uses less digits than its factorization.

42224233212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500927 (or 2500922 counting only the distinct ones).

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

Adding to 42224233212 its reverse (21233242224), we get a palindrome (63457475436).

The spelling of 42224233212 in words is "forty-two billion, two hundred twenty-four million, two hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 67 84 126 134 201 252 268 402 469 603 804 938 1206 1407 1876 2412 2814 4221 5628 8442 16884 2500843 5001686 7502529 10003372 15005058 17505901 22507587 30010116 35011802 45015174 52517703 70023604 90030348 105035406 157553109 167556481 210070812 315106218 335112962 502669443 630212436 670225924 1005338886 1172895367 1508008329 2010677772 2345790734 3016016658 3518686101 4691581468 6032033316 7037372202 10556058303 14074744404 21112116606 42224233212