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22206035174401 = 131979419214501
BaseRepresentation
bin1010000110010001111101…
…10101101010010000000001
32220121212122202211200000001
411003020332311222100001
510402310430001040101
6115121151200000001
74451222152431421
oct503107665522001
986555582750001
1022206035174401
117091587a44961
1225a7818300001
13c510352ca290
1456aac6556481
1528796b06c901
hex14323ed6a401

22206035174401 has 16 divisors (see below), whose sum is σ = 24061128770448. Its totient is φ = 20372153760000.

The previous prime is 22206035174341. The next prime is 22206035174437. The reversal of 22206035174401 is 10447153060222.

It can be written as a sum of positive squares in 8 ways, for example, as 741355440400 + 21464679734001 = 861020^2 + 4632999^2 .

It is a cyclic number.

It is not a de Polignac number, because 22206035174401 - 231 = 22203887690753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22206035174441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2197350 + ... + 7017151.

It is an arithmetic number, because the mean of its divisors is an integer number (1503820548153).

Almost surely, 222206035174401 is an apocalyptic number.

It is an amenable number.

22206035174401 is a deficient number, since it is larger than the sum of its proper divisors (1855093596047).

22206035174401 is a wasteful number, since it uses less digits than its factorization.

22206035174401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215652.

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 22206035174401 in words is "twenty-two trillion, two hundred six billion, thirty-five million, one hundred seventy-four thousand, four hundred one".

Divisors: 1 13 197 941 2561 12233 185377 2409901 9214501 119788513 1815256697 8670845441 23598337061 112720990733 1708156551877 22206035174401