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220432314302442 = 232116833457471509
BaseRepresentation
bin110010000111101101100101…
…110010100111111111101010
31001220111010022222201120201100
4302013231211302213333222
5212343030334430134232
62100453112431302230
764300465145306634
oct6207554562477752
91056433288646640
10220432314302442
1164266901846460
122088131407a976
1395cc8a7888168
143c60da39a1a54
151a73e3c6e1c7c
hexc87b65ca7fea

220432314302442 has 96 divisors (see below), whose sum is σ = 521936719536960. Its totient is φ = 66680435036160.

The previous prime is 220432314302423. The next prime is 220432314302449. The reversal of 220432314302442 is 244203413234022.

220432314302442 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 32 + 314 + 302 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 220432314302397 and 220432314302406.

It is not an unprimeable number, because it can be changed into a prime (220432314302449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467268184 + ... + 467739692.

It is an arithmetic number, because the mean of its divisors is an integer number (5436840828510).

Almost surely, 2220432314302442 is an apocalyptic number.

220432314302442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220432314302442 is an abundant number, since it is smaller than the sum of its proper divisors (301504405234518).

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

220432314302442 is a wasteful number, since it uses less digits than its factorization.

220432314302442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475668 (or 475665 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 220432314302442 its reverse (244203413234022), we get a palindrome (464635727536464).

The spelling of 220432314302442 in words is "two hundred twenty trillion, four hundred thirty-two billion, three hundred fourteen million, three hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 683 1366 2049 3457 4098 6147 6914 7513 10371 12294 15026 20742 22539 31113 38027 45078 62226 67617 76054 114081 135234 228162 342243 471509 684486 943018 1414527 2361131 2829054 4243581 4722262 5186599 7083393 8487162 10373198 14166786 15559797 21250179 25972441 31119594 42500358 46679391 51944882 77917323 93358782 155834646 233751969 322040647 467503938 644081294 966121941 1630006613 1932243882 2898365823 3260013226 3542447117 4890019839 5796731646 7084894234 9780039678 10627341351 14670059517 17930072743 21254682702 29340119034 31882024053 35860145486 53790218229 63764048106 107580436458 161370654687 322741309374 1113294516679 2226589033358 3339883550037 6679767100074 10019650650111 12246239683469 20039301300222 24492479366938 36738719050407 73477438100814 110216157151221 220432314302442