Search a number
-
+
221413234156360 = 23529424861449261
BaseRepresentation
bin110010010101111111001001…
…001010111010001101001000
31002000221220020222111011022021
4302111333021022322031020
5213010113300421000420
62102523500252134224
764431402230430631
oct6225771112721510
91060856228434267
10221413234156360
11646049094a5184
12209bb450167374
139671241c0451c
143c96659d6a888
151a8e6edd3b7aa
hexc95fc92ba348

221413234156360 has 64 divisors (see below), whose sum is σ = 515360749978800. Its totient is φ = 85510926412800.

The previous prime is 221413234156321. The next prime is 221413234156369. The reversal of 221413234156360 is 63651432314122.

221413234156360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 209725601392836 + 11687632763524 = 14481906^2 + 3418718^2 .

It is not an unprimeable number, because it can be changed into a prime (221413234156369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492614130 + ... + 493063390.

Almost surely, 2221413234156360 is an apocalyptic number.

221413234156360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221413234156360 is an abundant number, since it is smaller than the sum of its proper divisors (293947515822440).

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

221413234156360 is a wasteful number, since it uses less digits than its factorization.

221413234156360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874162 (or 874158 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 221413234156360 in words is "two hundred twenty-one trillion, four hundred thirteen billion, two hundred thirty-four million, one hundred fifty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 424861 449261 849722 898522 1699444 1797044 2124305 2246305 3398888 3594088 4248610 4492610 8497220 8985220 12320969 13028569 16994440 17970440 24641938 26057138 49283876 52114276 61604845 65142845 98567752 104228552 123209690 130285690 246419380 260571380 492838760 521142760 190873477721 381746955442 763493910884 954367388605 1526987821768 1908734777210 3817469554420 5535330853909 7634939108840 11070661707818 22141323415636 27676654269545 44282646831272 55353308539090 110706617078180 221413234156360