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2256240012 = 2231330747111
BaseRepresentation
bin1000011001111011…
…0111110110001100
312211020111212102220
42012132313312030
514110044140022
61011515015340
7106624503135
oct20636676614
95736455386
102256240012
11a58652574
1252b73a550
1329c593080
1417591ac8c
15d312a85c
hex867b7d8c

2256240012 has 48 divisors (see below), whose sum is σ = 5688114432. Its totient is φ = 691951680.

The previous prime is 2256240011. The next prime is 2256240013. The reversal of 2256240012 is 2100426522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2256240011) and next prime (2256240013).

It is not an unprimeable number, because it can be changed into a prime (2256240011) 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, 24337 + ... + 71447.

It is an arithmetic number, because the mean of its divisors is an integer number (118502384).

Almost surely, 22256240012 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 2256240012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844057216).

2256240012 is an abundant number, since it is smaller than the sum of its proper divisors (3431874420).

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

2256240012 is a wasteful number, since it uses less digits than its factorization.

2256240012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47438 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2256240012 is about 47499.8948630415. The cubic root of 2256240012 is about 1311.5809462234.

Adding to 2256240012 its reverse (2100426522), we get a palindrome (4356666534).

The spelling of 2256240012 in words is "two billion, two hundred fifty-six million, two hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 307 614 921 1228 1842 3684 3991 7982 11973 15964 23946 47111 47892 94222 141333 188444 282666 565332 612443 1224886 1837329 2449772 3674658 7349316 14463077 28926154 43389231 57852308 86778462 173556924 188020001 376040002 564060003 752080004 1128120006 2256240012