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1220441352 = 2331324116231
BaseRepresentation
bin100100010111110…
…0111010100001000
310011001110211210120
41020233213110020
54444413110402
6321034143240
742146403024
oct11057472410
93131424716
101220441352
115769a8719
122a0881b20
13165b00760
14b8131384
15722273bc
hex48be7508

1220441352 has 64 divisors (see below), whose sum is σ = 3299640960. Its totient is φ = 373939200.

The previous prime is 1220441323. The next prime is 1220441357. The reversal of 1220441352 is 2531440221.

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

It is not an unprimeable number, because it can be changed into a prime (1220441357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67077 + ... + 83307.

It is an arithmetic number, because the mean of its divisors is an integer number (51556890).

Almost surely, 21220441352 is an apocalyptic number.

1220441352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220441352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649820480).

1220441352 is an abundant number, since it is smaller than the sum of its proper divisors (2079199608).

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

1220441352 is a wasteful number, since it uses less digits than its factorization.

1220441352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16494 (or 16490 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1220441352 is about 34934.8157573501. The cubic root of 1220441352 is about 1068.6585664538.

Adding to 1220441352 its reverse (2531440221), we get a palindrome (3751881573).

The spelling of 1220441352 in words is "one billion, two hundred twenty million, four hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 241 312 482 723 964 1446 1928 2892 3133 5784 6266 9399 12532 16231 18798 25064 32462 37596 48693 64924 75192 97386 129848 194772 211003 389544 422006 633009 844012 1266018 1688024 2532036 3911671 5064072 7823342 11735013 15646684 23470026 31293368 46940052 50851723 93880104 101703446 152555169 203406892 305110338 406813784 610220676 1220441352