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2245240140 = 223511131511733
BaseRepresentation
bin1000010111010011…
…1010010101001100
312210110211000110020
42011310322111030
514044240141030
61010443142140
7106432140423
oct20564722514
95713730406
102245240140
11a5241a170
12527b14950
1329a211380
141742962ba
15d21a6510
hex85d3a54c

2245240140 has 192 divisors, whose sum is σ = 7438943232. Its totient is φ = 498816000.

The previous prime is 2245240111. The next prime is 2245240147. The reversal of 2245240140 is 410425422.

It is a happy number.

It is a super-2 number, since 2×22452401402 = 10082206572534439200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2245240140.

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 63 ways as a sum of consecutive naturals, for example, 1294714 + ... + 1296446.

It is an arithmetic number, because the mean of its divisors is an integer number (38744496).

Almost surely, 22245240140 is an apocalyptic number.

2245240140 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 2245240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719471616).

2245240140 is an abundant number, since it is smaller than the sum of its proper divisors (5193703092).

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

2245240140 is a wasteful number, since it uses less digits than its factorization.

2245240140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2245240140 is about 47383.9650092729. The cubic root of 2245240140 is about 1309.4460179221.

Adding to 2245240140 its reverse (410425422), we get a palindrome (2655665562).

The spelling of 2245240140 in words is "two billion, two hundred forty-five million, two hundred forty thousand, one hundred forty".