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222115352052 = 2231119912316869
BaseRepresentation
bin1100111011011100011…
…0110100110111110100
3210020022121012222020110
43032313012310313310
512114343012231202
6250012142503020
722022140225026
oct3166706646764
9706277188213
10222115352052
1186220364560
1237069b94a70
1317c3a02b5c9
14aa712cc016
155b9ec8b26c
hex33b71b4df4

222115352052 has 96 divisors (see below), whose sum is σ = 568770048000. Its totient is φ = 66905308800.

The previous prime is 222115352027. The next prime is 222115352071. The reversal of 222115352052 is 250253511222.

It is a super-2 number, since 2×2221153520522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32332474 + ... + 32339342.

It is an arithmetic number, because the mean of its divisors is an integer number (5924688000).

Almost surely, 2222115352052 is an apocalyptic number.

222115352052 is a gapful number since it is divisible by the number (22) 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 222115352052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284385024000).

222115352052 is an abundant number, since it is smaller than the sum of its proper divisors (346654695948).

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

222115352052 is a wasteful number, since it uses less digits than its factorization.

222115352052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8315 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 222115352052 its reverse (250253511222), we get a palindrome (472368863274).

The spelling of 222115352052 in words is "two hundred twenty-two billion, one hundred fifteen million, three hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 199 398 597 796 1194 1231 2189 2388 2462 3693 4378 4924 6567 6869 7386 8756 13134 13541 13738 14772 20607 26268 27082 27476 40623 41214 54164 75559 81246 82428 151118 162492 226677 244969 302236 453354 489938 734907 906708 979876 1366931 1469814 2694659 2733862 2939628 4100793 5389318 5467724 8083977 8201586 8455739 10778636 15036241 16167954 16403172 16911478 25367217 30072482 32335908 33822956 45108723 50734434 60144964 90217446 93013129 101468868 180434892 186026258 279039387 372052516 558078774 1116157548 1682692061 3365384122 5048076183 6730768244 10096152366 18509612671 20192304732 37019225342 55528838013 74038450684 111057676026 222115352052