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1224434130 = 235471038431
BaseRepresentation
bin100100011111011…
…0110000111010010
310011022222200212020
41020332312013102
510001423343010
6321255512310
742225342543
oct11076660722
93138880766
101224434130
11579185537
122a2088696
1316689ac4a
14b88904ca
1572765470
hex48fb61d2

1224434130 has 64 divisors (see below), whose sum is σ = 3030663168. Its totient is φ = 316428480.

The previous prime is 1224434117. The next prime is 1224434131. The reversal of 1224434130 is 314344221.

1224434130 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1224434130.

It is not an unprimeable number, because it can be changed into a prime (1224434131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141015 + ... + 149445.

It is an arithmetic number, because the mean of its divisors is an integer number (47354112).

Almost surely, 21224434130 is an apocalyptic number.

1224434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224434130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515331584).

1224434130 is an abundant number, since it is smaller than the sum of its proper divisors (1806229038).

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

1224434130 is a wasteful number, since it uses less digits than its factorization.

1224434130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1224434130 is about 34991.9152090879. The cubic root of 1224434130 is about 1069.8227004102.

Adding to 1224434130 its reverse (314344221), we get a palindrome (1538778351).

The spelling of 1224434130 in words is "one billion, two hundred twenty-four million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 103 141 206 235 282 309 470 515 618 705 1030 1410 1545 3090 4841 8431 9682 14523 16862 24205 25293 29046 42155 48410 50586 72615 84310 126465 145230 252930 396257 792514 868393 1188771 1736786 1981285 2377542 2605179 3962570 4341965 5210358 5943855 8683930 11887710 13025895 26051790 40814471 81628942 122443413 204072355 244886826 408144710 612217065 1224434130