Search a number
-
+
2236407040 = 28572181197
BaseRepresentation
bin1000010101001100…
…1101110100000000
312202212012020201101
42011103031310000
514040010011130
61005525544144
7106264101100
oct20523156400
95685166641
102236407040
11a4843678a
12524b75054
1329843a99a
14173037200
15d150e1ca
hex854cdd00

2236407040 has 216 divisors, whose sum is σ = 6297723432. Its totient is φ = 758661120.

The previous prime is 2236407023. The next prime is 2236407059. The reversal of 2236407040 is 407046322.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 2037258496 = 14112^2 + 45136^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11352222 + ... + 11352418.

It is an arithmetic number, because the mean of its divisors is an integer number (29156127).

Almost surely, 22236407040 is an apocalyptic number.

2236407040 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 2236407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148861716).

2236407040 is an abundant number, since it is smaller than the sum of its proper divisors (4061316392).

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

2236407040 is a wasteful number, since it uses less digits than its factorization.

2236407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2236407040 is about 47290.6654637044. The cubic root of 2236407040 is about 1307.7265776557.

The spelling of 2236407040 in words is "two billion, two hundred thirty-six million, four hundred seven thousand, forty".