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22201224130233 = 341976229223361
BaseRepresentation
bin1010000110001001000000…
…00100111110111010111001
32220121102020111000022010000
411003010200010332322321
510402221101334131413
6115115033534343213
74450662013302531
oct503044004767271
986542214008100
1022201224130233
11708a5392671a5
1225a68b505ab09
13c50749659a95
1456a78b6004c1
152877889dd073
hex14312013eeb9

22201224130233 has 40 divisors (see below), whose sum is σ = 33338641339080. Its totient is φ = 14723255070720.

The previous prime is 22201224130231. The next prime is 22201224130273. The reversal of 22201224130233 is 33203142210222.

22201224130233 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 12 + 2 + 413 + 0 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4604642180649 + 17596581949584 = 2145843^2 + 4194828^2 .

It is not a de Polignac number, because 22201224130233 - 21 = 22201224130231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22201224130197 and 22201224130206.

It is not an unprimeable number, because it can be changed into a prime (22201224130231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99284473 + ... + 99507833.

It is an arithmetic number, because the mean of its divisors is an integer number (833466033477).

Almost surely, 222201224130233 is an apocalyptic number.

It is an amenable number.

22201224130233 is a deficient number, since it is larger than the sum of its proper divisors (11137417208847).

22201224130233 is a wasteful number, since it uses less digits than its factorization.

22201224130233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229799 (or 229790 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22201224130233 its reverse (33203142210222), we get a palindrome (55404366340455).

The spelling of 22201224130233 in words is "twenty-two trillion, two hundred one billion, two hundred twenty-four million, one hundred thirty thousand, two hundred thirty-three".

Divisors: 1 3 9 27 81 197 591 1773 5319 6229 15957 18687 56061 168183 223361 504549 670083 1227113 2010249 3681339 6030747 11044017 18092241 33132051 44002117 99396153 132006351 396019053 1188057159 1391315669 3564171477 4173947007 12521841021 37565523063 112696569189 274089186793 822267560379 2466802681137 7400408043411 22201224130233