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2125220304 = 243431079623
BaseRepresentation
bin111111010101100…
…0100100111010000
312111002222101012010
41332223010213100
513323024022204
6550514502520
7103444034364
oct17653044720
95432871163
102125220304
119a06a4519
124b3894a40
1327b3ab40c
141623732a4
15c6899d89
hex7eac49d0

2125220304 has 80 divisors (see below), whose sum is σ = 5670922752. Its totient is φ = 685394304.

The previous prime is 2125220299. The next prime is 2125220333. The reversal of 2125220304 is 4030225212.

2125220304 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21252203042 = 9033122681067704832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216037 + ... + 225659.

Almost surely, 22125220304 is an apocalyptic number.

2125220304 is a gapful number since it is divisible by the number (24) 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 2125220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835461376).

2125220304 is an abundant number, since it is smaller than the sum of its proper divisors (3545702448).

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

2125220304 is a wasteful number, since it uses less digits than its factorization.

2125220304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2125220304 is about 46100.1117569144. Note that the first 3 decimals coincide. The cubic root of 2125220304 is about 1285.6852223130.

Adding to 2125220304 its reverse (4030225212), we get a palindrome (6155445516).

The spelling of 2125220304 in words is "two billion, one hundred twenty-five million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 107 129 172 214 258 321 344 428 516 642 688 856 1032 1284 1712 2064 2568 4601 5136 9202 9623 13803 18404 19246 27606 28869 36808 38492 55212 57738 73616 76984 110424 115476 153968 220848 230952 413789 461904 827578 1029661 1241367 1655156 2059322 2482734 3088983 3310312 4118644 4965468 6177966 6620624 8237288 9930936 12355932 16474576 19861872 24711864 44275423 49423728 88550846 132826269 177101692 265652538 354203384 531305076 708406768 1062610152 2125220304