Search a number
-
+
400222232301221 = 111743263349542263
BaseRepresentation
bin101101011111111111111111…
…1111111001100111010100101
31221111001212112111112201110222
41122333333333333030322211
5404424220112432114341
63535111315540254125
7150205050004214141
oct13277777777147245
91844055474481428
10400222232301221
111065833283a8860
1238a798bb9a1345
1314241a43875745
1470b8c0629a221
153140a732bb44b
hex16bfffffccea5

400222232301221 has 64 divisors (see below), whose sum is σ = 476199759974400. Its totient is φ = 332245402352640.

The previous prime is 400222232301197. The next prime is 400222232301259. The reversal of 400222232301221 is 122103232222004.

It is a cyclic number.

It is not a de Polignac number, because 400222232301221 - 210 = 400222232300197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400222232301421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 737788136 + ... + 738330398.

It is an arithmetic number, because the mean of its divisors is an integer number (7440621249600).

Almost surely, 2400222232301221 is an apocalyptic number.

It is an amenable number.

400222232301221 is a deficient number, since it is larger than the sum of its proper divisors (75977527673179).

400222232301221 is a wasteful number, since it uses less digits than its factorization.

400222232301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542946.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 400222232301221 its reverse (122103232222004), we get a palindrome (522325464523225).

The spelling of 400222232301221 in words is "four hundred trillion, two hundred twenty-two billion, two hundred thirty-two million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 11 17 43 187 263 349 473 731 2893 3839 4471 5933 8041 11309 15007 49181 65263 91787 124399 165077 192253 255119 542263 1009657 1560379 2114783 2806309 3946841 5964893 9218471 17164169 23317309 43415251 67096297 101403181 142615169 189249787 256490399 396394253 738059267 1568766859 2081747657 2424457873 3217246379 4360336783 6132452267 8137740841 26669036603 35389710169 49772693981 67456974937 89515149251 104251688539 138341594297 547499633791 846135797677 1146768573929 1521757537267 2140225841183 9307493774447 23542484253013 36383839300111 400222232301221