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2245240144 = 2471031911019
BaseRepresentation
bin1000010111010011…
…1010010101010000
312210110211000110101
42011310322111100
514044240141034
61010443142144
7106432140430
oct20564722520
95713730411
102245240144
11a5241a174
12527b14954
1329a211384
141742962c0
15d21a6514
hex85d3a550

2245240144 has 80 divisors (see below), whose sum is σ = 5051105280. Its totient is φ = 946984320.

The previous prime is 2245240111. The next prime is 2245240147. The reversal of 2245240144 is 4410425422.

It is a super-2 number, since 2×22452401442 = 10082206608458281472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245240147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202867 + ... + 2203885.

It is an arithmetic number, because the mean of its divisors is an integer number (63138816).

Almost surely, 22245240144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2525552640).

2245240144 is an abundant number, since it is smaller than the sum of its proper divisors (2805865136).

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

2245240144 is a wasteful number, since it uses less digits than its factorization.

2245240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 2245240144 is about 47383.9650514813. The cubic root of 2245240144 is about 1309.4460186997.

Adding to 2245240144 its reverse (4410425422), we get a palindrome (6655665566).

The spelling of 2245240144 in words is "two billion, two hundred forty-five million, two hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 103 112 191 206 382 412 721 764 824 1019 1337 1442 1528 1648 2038 2674 2884 3056 4076 5348 5768 7133 8152 10696 11536 14266 16304 19673 21392 28532 39346 57064 78692 104957 114128 137711 157384 194629 209914 275422 314768 389258 419828 550844 734699 778516 839656 1101688 1362403 1469398 1557032 1679312 2203376 2724806 2938796 3114064 5449612 5877592 10899224 11755184 20046787 21798448 40093574 80187148 140327509 160374296 280655018 320748592 561310036 1122620072 2245240144