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1224310056 = 233233835791
BaseRepresentation
bin100100011111001…
…0111110100101000
310011022202101122220
41020332113310220
510001410410211
6321253114040
742224315034
oct11076276450
93138671586
101224310056
115791002a2
122a2028920
13166856628
14b885b1c4
157273d806
hex48f97d28

1224310056 has 64 divisors (see below), whose sum is σ = 3202744320. Its totient is φ = 389273280.

The previous prime is 1224309967. The next prime is 1224310067. The reversal of 1224310056 is 6500134221.

1224310056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12243100562 = 2997870226445446272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208521 + ... + 214311.

It is an arithmetic number, because the mean of its divisors is an integer number (50042880).

Almost surely, 21224310056 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 1224310056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601372160).

1224310056 is an abundant number, since it is smaller than the sum of its proper divisors (1978434264).

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

1224310056 is a wasteful number, since it uses less digits than its factorization.

1224310056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6206 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1224310056 is about 34990.1422689305. The cubic root of 1224310056 is about 1069.7865635362.

Adding to 1224310056 its reverse (6500134221), we get a palindrome (7724444277).

The spelling of 1224310056 in words is "one billion, two hundred twenty-four million, three hundred ten thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 383 552 766 1149 1532 2298 3064 4596 5791 8809 9192 11582 17373 17618 23164 26427 34746 35236 46328 52854 69492 70472 105708 133193 138984 211416 266386 399579 532772 799158 1065544 1598316 2217953 3196632 4435906 6653859 8871812 13307718 17743624 26615436 51012919 53230872 102025838 153038757 204051676 306077514 408103352 612155028 1224310056