Search a number
-
+
20002205322 = 23211229316681
BaseRepresentation
bin10010101000001110…
…010110111010001010
31220121222200022101100
4102220032112322022
5311431031032242
613104444402230
71305446640261
oct225016267212
956558608340
1020002205322
1185347a5a00
123a62846376
131b69c9a668
14d7a6db5d8
157c105454c
hex4a8396e8a

20002205322 has 72 divisors (see below), whose sum is σ = 49278886020. Its totient is φ = 5852246400.

The previous prime is 20002205303. The next prime is 20002205329. The reversal of 20002205322 is 22350220002.

It can be written as a sum of positive squares in 2 ways, for example, as 19976712921 + 25492401 = 141339^2 + 5049^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 20002205295 and 20002205304.

It is not an unprimeable number, because it can be changed into a prime (20002205329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95179 + ... + 221502.

Almost surely, 220002205322 is an apocalyptic number.

20002205322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20002205322 is an abundant number, since it is smaller than the sum of its proper divisors (29276680698).

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

20002205322 is a wasteful number, since it uses less digits than its factorization.

20002205322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316740 (or 316726 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 20002205322 its reverse (22350220002), we get a palindrome (42352425324).

The spelling of 20002205322 in words is "twenty billion, two million, two hundred five thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 121 174 198 242 261 319 363 522 638 726 957 1089 1914 2178 2871 3509 5742 7018 10527 21054 31581 63162 316681 633362 950043 1900086 2850129 3483491 5700258 6966982 9183749 10450473 18367498 20900946 27551247 31351419 38318401 55102494 62702838 76636802 82653741 101021239 114955203 165307482 202042478 229910406 303063717 344865609 606127434 689731218 909191151 1111233629 1818382302 2222467258 3333700887 6667401774 10001102661 20002205322