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42222852324 = 223223214892
BaseRepresentation
bin100111010100101011…
…011001100011100100
311000222120202010122100
4213110223121203210
51142433022233244
631221422132100
73023215215552
oct472453314344
9130876663570
1042222852324
11169a7776984
128224421030
133c9b7556b3
1420878b6bd2
151171c19b69
hex9d4ad98e4

42222852324 has 81 divisors (see below), whose sum is σ = 111647161353. Its totient is φ = 13453317504.

The previous prime is 42222852311. The next prime is 42222852359. The reversal of 42222852324 is 42325822224.

The square root of 42222852324 is 205482.

It is a perfect power (a square), and thus also a powerful number.

42222852324 is a `hidden beast` number, since 422 + 228 + 5 + 2 + 3 + 2 + 4 = 666.

42222852324 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 only one way, i.e., 9040586724 + 33182265600 = 95082^2 + 182160^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28355772 + ... + 28357260.

Almost surely, 242222852324 is an apocalyptic number.

42222852324 is the 205482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222852324

42222852324 is an abundant number, since it is smaller than the sum of its proper divisors (69424309029).

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

42222852324 is a wasteful number, since it uses less digits than its factorization.

42222852324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 1517 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Multiplying 42222852324 by its sum of digits (36), we get a square (1520022683664 = 12328922).

42222852324 divided by its sum of digits (36) gives a square (1172857009 = 342472).

It can be divided in two parts, 422228 and 52324, that added together give a cube (474552 = 783).

The spelling of 42222852324 in words is "forty-two billion, two hundred twenty-two million, eight hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1489 1587 2116 2978 3174 4467 4761 5956 6348 8934 9522 13401 17868 19044 26802 34247 53604 68494 102741 136988 205482 308223 410964 616446 787681 1232892 1575362 2217121 2363043 3150724 4434242 4726086 6651363 7089129 8868484 9452172 13302726 14178258 19954089 26605452 28356516 39908178 50993783 79816356 101987566 152981349 203975132 305962698 458944047 611925396 917888094 1172857009 1835776188 2345714018 3518571027 4691428036 7037142054 10555713081 14074284108 21111426162 42222852324