Search a number
-
+
2201320202424 = 233717770770379
BaseRepresentation
bin100000000010001000111…
…010001010000010111000
321210102222210022202201120
4200002020322022002320
5242031300432434144
64403134511345240
7315016523663520
oct40021072120270
97712883282646
102201320202424
11779635958672
122b6769822220
1312c778242ac5
147878a030680
153c3dc2d2e19
hex20088e8a0b8

2201320202424 has 64 divisors (see below), whose sum is σ = 6659456083200. Its totient is φ = 591951650304.

The previous prime is 2201320202401. The next prime is 2201320202443. The reversal of 2201320202424 is 4242020231022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2201320202394 and 2201320202403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385382334 + ... + 385388045.

It is an arithmetic number, because the mean of its divisors is an integer number (104054001300).

Almost surely, 22201320202424 is an apocalyptic number.

2201320202424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2201320202424 is an abundant number, since it is smaller than the sum of its proper divisors (4458135880776).

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

2201320202424 is a wasteful number, since it uses less digits than its factorization.

2201320202424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770770412 (or 770770408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2201320202424 its reverse (4242020231022), we get a palindrome (6443340433446).

The spelling of 2201320202424 in words is "two trillion, two hundred one billion, three hundred twenty million, two hundred two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 770770379 1541540758 2312311137 3083081516 4624622274 5395392653 6166163032 9249244548 10790785306 13103096443 16186177959 18498489096 21581570612 26206192886 32372355918 39309289329 43163141224 52412385772 64744711836 78618578658 91721675101 104824771544 129489423672 157237157316 183443350202 275165025303 314474314632 366886700404 550330050606 733773400808 1100660101212 2201320202424