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20002230414 = 23237293102503
BaseRepresentation
bin10010101000001110…
…011101000010001110
31220121222201120210200
4102220032131002032
5311431032333124
613104445114330
71305450103365
oct225016350216
956558646720
1020002230414
118534812841
123a628589a6
131b69ca8bca
14d7a7067dc
157c105bbc9
hex4a839d08e

20002230414 has 48 divisors (see below), whose sum is σ = 44661812832. Its totient is φ = 6465006144.

The previous prime is 20002230389. The next prime is 20002230419. The reversal of 20002230414 is 41403220002.

20002230414 is a `hidden beast` number, since 20 + 0 + 0 + 2 + 230 + 414 = 666.

It is a super-2 number, since 2×200022304142 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002230419) 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, 143887 + ... + 246389.

It is an arithmetic number, because the mean of its divisors is an integer number (930454434).

Almost surely, 220002230414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002230414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22330906416).

20002230414 is an abundant number, since it is smaller than the sum of its proper divisors (24659582418).

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

20002230414 is a wasteful number, since it uses less digits than its factorization.

20002230414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102841 (or 102838 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20002230414 its reverse (41403220002), we get a palindrome (61405450416).

The spelling of 20002230414 in words is "twenty billion, two million, two hundred thirty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 293 333 586 666 879 1758 2637 5274 10841 21682 32523 65046 97569 102503 195138 205006 307509 615018 922527 1845054 3792611 7585222 11377833 22755666 30033379 34133499 60066758 68266998 90100137 180200274 270300411 540600822 1111235023 2222470046 3333705069 6667410138 10001115207 20002230414