Search a number
-
+
220324032433232 = 24721321617350121
BaseRepresentation
bin110010000110001000101111…
…101100000100110001010000
31001220002202211122021200200222
4302012020233230010301100
5212334242104300330412
62100331244015132212
764256612625514100
oct6206105754046120
91056082748250628
10220324032433232
1164224996522452
1220864334814068
1395c260c3151c0
143c59a50a63200
151a71201380072
hexc8622fb04c50

220324032433232 has 60 divisors (see below), whose sum is σ = 534770007318036. Its totient is φ = 87161155683840.

The previous prime is 220324032433231. The next prime is 220324032433261. The reversal of 220324032433232 is 232334230423022.

It can be written as a sum of positive squares in 2 ways, for example, as 10783237358656 + 209540795074576 = 3283784^2 + 14475524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220324032433192 and 220324032433201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220324032433231) 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 11 ways as a sum of consecutive naturals, for example, 10808664869 + ... + 10808685252.

Almost surely, 2220324032433232 is an apocalyptic number.

It is an amenable number.

220324032433232 is an abundant number, since it is smaller than the sum of its proper divisors (314445974884804).

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

220324032433232 is a wasteful number, since it uses less digits than its factorization.

220324032433232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21617350156 (or 21617350143 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 220324032433232 its reverse (232334230423022), we get a palindrome (452658262856254).

The spelling of 220324032433232 in words is "two hundred twenty trillion, three hundred twenty-four billion, thirty-two million, four hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 21617350121 43234700242 86469400484 151321450847 172938800968 281025551573 302642901694 345877601936 562051103146 605285803388 1059250155929 1124102206292 1210571606776 1967178861011 2118500311858 2248204412584 2421143213552 3934357722022 4237000623716 4496408825168 7868715444044 8474001247432 13770252027077 15737430888088 16948002494864 27540504054154 31474861776176 55081008108308 110162016216616 220324032433232