Search a number
-
+
220251541140 = 223251223619673
BaseRepresentation
bin1100110100100000000…
…0111100111010010100
3210001111201010120022200
43031020000330322110
512102033343304030
6245103202524500
721625016132001
oct3151000747224
9701451116280
10220251541140
1185454286864
1236829966730
1317a00b58b07
14a9359648a8
155ae132ad60
hex334803ce94

220251541140 has 36 divisors (see below), whose sum is σ = 668096342004. Its totient is φ = 58733744256.

The previous prime is 220251541129. The next prime is 220251541157. The reversal of 220251541140 is 41145152022.

It is a happy number.

220251541140 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 515 + 4 + 1 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157753541124 + 62498000016 = 397182^2 + 249996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2202515411402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 611809657 + ... + 611810016.

Almost surely, 2220251541140 is an apocalyptic number.

220251541140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220251541140 is an abundant number, since it is smaller than the sum of its proper divisors (447844800864).

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

220251541140 is a wasteful number, since it uses less digits than its factorization.

220251541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223619688 (or 1223619683 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 220251541140 its reverse (41145152022), we get a palindrome (261396693162).

The spelling of 220251541140 in words is "two hundred twenty billion, two hundred fifty-one million, five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1223619673 2447239346 3670859019 4894478692 6118098365 7341718038 11012577057 12236196730 14683436076 18354295095 22025154114 24472393460 36708590190 44050308228 55062885285 73417180380 110125770570 220251541140