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1224224036 = 2272192314293
BaseRepresentation
bin100100011111000…
…0010110100100100
310011022121000122222
41020332002310210
510001400132121
6321251211512
742223506200
oct11076026444
93138530588
101224224036
11579051702
122a1ba6b98
13166826429
14b8837b00
15727230ab
hex48f82d24

1224224036 has 72 divisors (see below), whose sum is σ = 2737586880. Its totient is φ = 475409088.

The previous prime is 1224224003. The next prime is 1224224039. The reversal of 1224224036 is 6304224221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1224223996 and 1224224014.

It is not an unprimeable number, because it can be changed into a prime (1224224039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78506 + ... + 92798.

It is an arithmetic number, because the mean of its divisors is an integer number (38022040).

Almost surely, 21224224036 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 1224224036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368793440).

1224224036 is an abundant number, since it is smaller than the sum of its proper divisors (1513362844).

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

1224224036 is a wasteful number, since it uses less digits than its factorization.

1224224036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14353 (or 14344 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1224224036 is about 34988.9130439915. The cubic root of 1224224036 is about 1069.7615085552.

Adding to 1224224036 its reverse (6304224221), we get a palindrome (7528448257).

The spelling of 1224224036 in words is "one billion, two hundred twenty-four million, two hundred twenty-four thousand, thirty-six".

Divisors: 1 2 4 7 14 19 23 28 38 46 49 76 92 98 133 161 196 266 322 437 532 644 874 931 1127 1748 1862 2254 3059 3724 4508 6118 12236 14293 21413 28586 42826 57172 85652 100051 200102 271567 328739 400204 543134 657478 700357 1086268 1314956 1400714 1900969 2301173 2801428 3801938 4602346 6246041 7603876 9204692 12492082 13306783 16108211 24984164 26613566 32216422 43722287 53227132 64432844 87444574 174889148 306056009 612112018 1224224036