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2244520040 = 235737321491
BaseRepresentation
bin1000010111001000…
…1010100001101000
312210102110102122212
42011302022201220
514044044120130
61010415504252
7106423051130
oct20562124150
95712412585
102244520040
11a51a78144
12527828088
1329a01b689
14174149ac0
15d20b2e95
hex85c8a868

2244520040 has 64 divisors (see below), whose sum is σ = 5787365760. Its totient is φ = 767450880.

The previous prime is 2244520039. The next prime is 2244520049. The reversal of 2244520040 is 400254422.

It is a junction number, because it is equal to n+sod(n) for n = 2244519988 and 2244520015.

It is not an unprimeable number, because it can be changed into a prime (2244520049) 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, 93695 + ... + 115185.

It is an arithmetic number, because the mean of its divisors is an integer number (90427590).

Almost surely, 22244520040 is an apocalyptic number.

2244520040 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 2244520040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893682880).

2244520040 is an abundant number, since it is smaller than the sum of its proper divisors (3542845720).

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

2244520040 is a wasteful number, since it uses less digits than its factorization.

2244520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21882 (or 21878 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2244520040 is about 47376.3658378310. The cubic root of 2244520040 is about 1309.3060131648.

Adding to 2244520040 its reverse (400254422), we get a palindrome (2644774462).

The spelling of 2244520040 in words is "two billion, two hundred forty-four million, five hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 1492 1865 2611 2984 3730 5222 7460 10444 13055 14920 20888 21491 26110 42982 52220 85964 104440 107455 150437 171928 214910 300874 429820 601748 752185 859640 1203496 1504370 3008740 6017480 8016143 16032286 32064572 40080715 56113001 64129144 80161430 112226002 160322860 224452004 280565005 320645720 448904008 561130010 1122260020 2244520040