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2223405030 = 2357114720479
BaseRepresentation
bin1000010010000110…
…0111011111100110
312201221201200022110
42010201213133212
514023142430110
61004343141450
7106045426260
oct20441473746
95657650273
102223405030
11a41066120
12520744886
132958378a2
14171410b30
15d02e1a20
hex848677e6

2223405030 has 128 divisors (see below), whose sum is σ = 6794772480. Its totient is φ = 452154240.

The previous prime is 2223405013. The next prime is 2223405047. The reversal of 2223405030 is 305043222.

2223405030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2223405013) and next prime (2223405047).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2223404988 and 2223405006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98331 + ... + 118809.

It is an arithmetic number, because the mean of its divisors is an integer number (53084160).

Almost surely, 22223405030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223405030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397386240).

2223405030 is an abundant number, since it is smaller than the sum of its proper divisors (4571367450).

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

2223405030 is a wasteful number, since it uses less digits than its factorization.

2223405030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20554.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 2223405030 is about 47152.9959811675. The cubic root of 2223405030 is about 1305.1873661188.

Adding to 2223405030 its reverse (305043222), we get a palindrome (2528448252).

It can be divided in two parts, 2223 and 405030, that added together give a triangular number (407253 = T902).

The spelling of 2223405030 in words is "two billion, two hundred twenty-three million, four hundred five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 47 55 66 70 77 94 105 110 141 154 165 210 231 235 282 329 330 385 462 470 517 658 705 770 987 1034 1155 1410 1551 1645 1974 2310 2585 3102 3290 3619 4935 5170 7238 7755 9870 10857 15510 18095 20479 21714 36190 40958 54285 61437 102395 108570 122874 143353 204790 225269 286706 307185 430059 450538 614370 675807 716765 860118 962513 1126345 1351614 1433530 1576883 1925026 2150295 2252690 2887539 3153766 3379035 4300590 4730649 4812565 5775078 6737591 6758070 7884415 9461298 9625130 10587643 13475182 14437695 15768830 20212773 21175286 23653245 28875390 31762929 33687955 40425546 47306490 52938215 63525858 67375910 74113501 101063865 105876430 148227002 158814645 202127730 222340503 317629290 370567505 444681006 741135010 1111702515 2223405030