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222432342420 = 223583101442229
BaseRepresentation
bin1100111100101000000…
…0000011000110010100
3210021010200200202021110
43033022000003012110
512121020134424140
6250103425015020
722033036500141
oct3171200030624
9707120622243
10222432342420
1186373293072
1237138184470
1317c8a8c7982
14aaa14453c8
155bbca04380
hex33ca003194

222432342420 has 96 divisors (see below), whose sum is σ = 636556475520. Its totient is φ = 58020313600.

The previous prime is 222432342367. The next prime is 222432342421. The reversal of 222432342420 is 24243234222.

It is a super-2 number, since 2×2224323424202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222432342421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281866 + ... + 724094.

It is an arithmetic number, because the mean of its divisors is an integer number (6630796620).

Almost surely, 2222432342420 is an apocalyptic number.

222432342420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222432342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318278237760).

222432342420 is an abundant number, since it is smaller than the sum of its proper divisors (414124133100).

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

222432342420 is a wasteful number, since it uses less digits than its factorization.

222432342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442425 (or 442423 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 222432342420 its reverse (24243234222), we get a palindrome (246675576642).

The spelling of 222432342420 in words is "two hundred twenty-two billion, four hundred thirty-two million, three hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 101 166 202 249 303 332 404 415 498 505 606 830 996 1010 1212 1245 1515 1660 2020 2490 3030 4980 6060 8383 16766 25149 33532 41915 50298 83830 100596 125745 167660 251490 442229 502980 884458 1326687 1768916 2211145 2653374 4422290 5306748 6633435 8844580 13266870 26533740 36705007 44665129 73410014 89330258 110115021 133995387 146820028 178660516 183525035 220230042 223325645 267990774 367050070 440460084 446651290 535981548 550575105 669976935 734100140 893302580 1101150210 1339953870 2202300420 2679907740 3707205707 7414411414 11121617121 14828822828 18536028535 22243234242 37072057070 44486468484 55608085605 74144114140 111216171210 222432342420