Search a number
-
+
22300153001442 = 234137655265441
BaseRepresentation
bin1010001001000001010001…
…01100101011010111100010
32220221212121000010122220000
411010200220230223113202
510410331203132021232
6115232314315400430
74461063402652551
oct504405054532742
986855530118800
1022300153001442
117118495007398
122601b04153116
13c59b84286ab4
145714942b9d98
1528a128b9627c
hex144828b2b5e2

22300153001442 has 20 divisors (see below), whose sum is σ = 49968861355446. Its totient is φ = 7433384333760.

The previous prime is 22300153001431. The next prime is 22300153001501. The reversal of 22300153001442 is 24410035100322.

22300153001442 is a `hidden beast` number, since 2 + 2 + 300 + 1 + 5 + 300 + 14 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15389936846001 + 6910216155441 = 3923001^2 + 2628729^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68827632559 + ... + 68827632882.

Almost surely, 222300153001442 is an apocalyptic number.

22300153001442 is an abundant number, since it is smaller than the sum of its proper divisors (27668708354004).

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

22300153001442 is a wasteful number, since it uses less digits than its factorization.

22300153001442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137655265455 (or 137655265446 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 22300153001442 its reverse (24410035100322), we get a palindrome (46710188101764).

The spelling of 22300153001442 in words is "twenty-two trillion, three hundred billion, one hundred fifty-three million, one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 137655265441 275310530882 412965796323 825931592646 1238897388969 2477794777938 3716692166907 7433384333814 11150076500721 22300153001442