Search a number
-
+
22066506403425 = 32521149091816207
BaseRepresentation
bin1010000010001110000100…
…10001101000111001100001
32220010112111202211200221200
411001013002101220321201
510343014201114402200
6114533114010111413
74435152412436601
oct501070221507141
986115452750850
1022066506403425
1170383976570a0
12258477841b569
13c40b2a258933
1456404b750c01
152840018ce800
hex1411c2468e61

22066506403425 has 72 divisors (see below), whose sum is σ = 43125423070080. Its totient is φ = 10696726857600.

The previous prime is 22066506403387. The next prime is 22066506403433. The reversal of 22066506403425 is 52430460566022.

22066506403425 is a `hidden beast` number, since 2 + 2 + 0 + 66 + 506 + 40 + 3 + 42 + 5 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22066506403425 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11241672 + ... + 13057878.

Almost surely, 222066506403425 is an apocalyptic number.

22066506403425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22066506403425 is a deficient number, since it is larger than the sum of its proper divisors (21058916666655).

22066506403425 is a wasteful number, since it uses less digits than its factorization.

22066506403425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821143 (or 1821135 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 22066506403425 its reverse (52430460566022), we get a palindrome (74496966969447).

The spelling of 22066506403425 in words is "twenty-two trillion, sixty-six billion, five hundred six million, four hundred three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 4909 14727 24545 44181 53999 73635 122725 161997 220905 269995 368175 485991 809985 1104525 1349975 1816207 2429955 4049925 5448621 9081035 12149775 16345863 19978277 27243105 45405175 59934831 81729315 99891385 136215525 179804493 299674155 408646575 499456925 899022465 1498370775 4495112325 8915760163 26747280489 44578800815 80241841467 98073361793 133736402445 222894004075 294220085379 401209207335 490366808965 668682012225 882660256137 1471100426895 2006046036675 2451834044825 4413301280685 7355502134475 22066506403425