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1220303142 = 232374194373
BaseRepresentation
bin100100010111100…
…0101100100100110
310011001012211012200
41020233011210212
54444344200032
6321031155330
742145256052
oct11057054446
93131184180
101220303142
115769138a3
122a0815b46
13165a82886
14b80d6c62
15721eb47c
hex48bc5926

1220303142 has 48 divisors (see below), whose sum is σ = 2722552560. Its totient is φ = 394739136.

The previous prime is 1220303137. The next prime is 1220303173. The reversal of 1220303142 is 2413030221.

1220303142 is a `hidden beast` number, since 1 + 220 + 303 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276868 + ... + 281240.

It is an arithmetic number, because the mean of its divisors is an integer number (56719845).

Almost surely, 21220303142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220303142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361276280).

1220303142 is an abundant number, since it is smaller than the sum of its proper divisors (1502249418).

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

1220303142 is a wasteful number, since it uses less digits than its factorization.

1220303142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4837 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1220303142 is about 34932.8375887216. The cubic root of 1220303142 is about 1068.6182245244.

Adding to 1220303142 its reverse (2413030221), we get a palindrome (3633333363).

The spelling of 1220303142 in words is "one billion, two hundred twenty million, three hundred three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 419 666 838 1257 2514 3771 4373 7542 8746 13119 15503 26238 31006 39357 46509 78714 93018 139527 161801 279054 323602 485403 970806 1456209 1832287 2912418 3664574 5496861 10993722 16490583 32981166 67794619 135589238 203383857 406767714 610151571 1220303142