Search a number
-
+
442224335880 = 233251228400933
BaseRepresentation
bin1100110111101101001…
…11111101110000001000
31120021110101002212200200
412123312213331300020
524221133412222010
6535053254132200
743643505556035
oct6336647756010
91507411085620
10442224335880
11160601121958
1271858051060
1332917493082
1417591d4438c
15b783807cc0
hex66f69fdc08

442224335880 has 48 divisors (see below), whose sum is σ = 1437229092780. Its totient is φ = 117926489472.

The previous prime is 442224335879. The next prime is 442224335939. The reversal of 442224335880 is 88533422244.

442224335880 is a `hidden beast` number, since 4 + 4 + 2 + 22 + 43 + 3 + 588 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 399937348836 + 42286987044 = 632406^2 + 205638^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614200107 + ... + 614200826.

Almost surely, 2442224335880 is an apocalyptic number.

442224335880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442224335880 is an abundant number, since it is smaller than the sum of its proper divisors (995004756900).

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

442224335880 is a wasteful number, since it uses less digits than its factorization.

442224335880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228400950 (or 1228400943 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 442224335880 in words is "four hundred forty-two billion, two hundred twenty-four million, three hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1228400933 2456801866 3685202799 4913603732 6142004665 7370405598 9827207464 11055608397 12284009330 14740811196 18426013995 22111216794 24568018660 29481622392 36852027990 44222433588 49136037320 55278041985 73704055980 88444867176 110556083970 147408111960 221112167940 442224335880