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1228429800 = 2334521319307
BaseRepresentation
bin100100100111000…
…0101100111101000
310011121111200220000
41021032011213220
510003434223200
6321521303000
742304323663
oct11116054750
93147450800
101228429800
11580464544
122a3494a60
13167669850
14b92106da
1572ca4300
hex493859e8

1228429800 has 480 divisors, whose sum is σ = 4852293600. Its totient is φ = 285534720.

The previous prime is 1228429759. The next prime is 1228429801. The reversal of 1228429800 is 89248221.

1228429800 is a `hidden beast` number, since 1 + 228 + 429 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1228429801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4001247 + ... + 4001553.

It is an arithmetic number, because the mean of its divisors is an integer number (10108945).

Almost surely, 21228429800 is an apocalyptic number.

1228429800 is a gapful number since it is divisible by the number (10) 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 1228429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426146800).

1228429800 is an abundant number, since it is smaller than the sum of its proper divisors (3623863800).

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

1228429800 is a wasteful number, since it uses less digits than its factorization.

1228429800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1228429800 is about 35048.9628947848. The cubic root of 1228429800 is about 1070.9851467940.

The spelling of 1228429800 in words is "one billion, two hundred twenty-eight million, four hundred twenty-nine thousand, eight hundred".