Search a number
-
+
2231144025240 = 2335135310722357
BaseRepresentation
bin100000011101111010100…
…011000000110010011000
321220021222021002221102210
4200131322203000302120
5243023340332301430
64424550131355120
7320123554205334
oct40357243006230
97807867087383
102231144025240
1179024a700119
123004b1752aa0
1313251bc72040
1479db8cd87c4
153d08570b2b0
hex2077a8c0c98

2231144025240 has 384 divisors, whose sum is σ = 7416742656960. Its totient is φ = 533579943936.

The previous prime is 2231144025239. The next prime is 2231144025251. The reversal of 2231144025240 is 425204411322.

It is a happy number.

It is a super-3 number, since 3×22311440252403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2231144025198 and 2231144025207.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 946602142 + ... + 946604498.

Almost surely, 22231144025240 is an apocalyptic number.

2231144025240 is a gapful number since it is divisible by the number (20) 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 2231144025240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708371328480).

2231144025240 is an abundant number, since it is smaller than the sum of its proper divisors (5185598631720).

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

2231144025240 is a wasteful number, since it uses less digits than its factorization.

2231144025240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 2231144025240 its reverse (425204411322), we get a palindrome (2656348436562).

The spelling of 2231144025240 in words is "two trillion, two hundred thirty-one billion, one hundred forty-four million, twenty-five thousand, two hundred forty".