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1220304300 = 2235213131051
BaseRepresentation
bin100100010111100…
…0101110110101100
310011001012212210120
41020233011312230
54444344214200
6321031204540
742145262325
oct11057056654
93131185716
101220304300
11576914756
122a0816750
13165a83267
14b80d744c
15721eb9a0
hex48bc5dac

1220304300 has 72 divisors (see below), whose sum is σ = 3557813952. Its totient is φ = 322920000.

The previous prime is 1220304233. The next prime is 1220304301. The reversal of 1220304300 is 34030221.

1220304300 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1220304300.

It is not an unprimeable number, because it can be changed into a prime (1220304301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23775 + ... + 54825.

Almost surely, 21220304300 is an apocalyptic number.

1220304300 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 1220304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778906976).

1220304300 is an abundant number, since it is smaller than the sum of its proper divisors (2337509652).

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

1220304300 is a wasteful number, since it uses less digits than its factorization.

1220304300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31199 (or 31192 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1220304300 is about 34932.8541633804. The cubic root of 1220304300 is about 1068.6185625441.

Adding to 1220304300 its reverse (34030221), we get a palindrome (1254334521).

The spelling of 1220304300 in words is "one billion, two hundred twenty million, three hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 262 300 393 524 655 786 1310 1572 1965 2620 3275 3930 6550 7860 9825 13100 19650 31051 39300 62102 93153 124204 155255 186306 310510 372612 465765 621020 776275 931530 1552550 1863060 2328825 3105100 4067681 4657650 8135362 9315300 12203043 16270724 20338405 24406086 40676810 48812172 61015215 81353620 101692025 122030430 203384050 244060860 305076075 406768100 610152150 1220304300