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2231402040 = 2333572341313
BaseRepresentation
bin1000010100000000…
…0111111000111000
312202111202222011000
42011000013320320
514032214331130
61005230405000
7106203414210
oct20500077070
95674688130
102231402040
11a4562841a
12523360760
132973a784a
141724d3240
15d0d71260
hex85007e38

2231402040 has 512 divisors, whose sum is σ = 9115545600. Its totient is φ = 474439680.

The previous prime is 2231402011. The next prime is 2231402057. The reversal of 2231402040 is 402041322.

2231402040 is a `hidden beast` number, since 223 + 1 + 402 + 0 + 40 = 666.

It is a super-3 number, since 3×22314020403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7128924 + ... + 7129236.

It is an arithmetic number, because the mean of its divisors is an integer number (17803800).

Almost surely, 22231402040 is an apocalyptic number.

2231402040 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 2231402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557772800).

2231402040 is an abundant number, since it is smaller than the sum of its proper divisors (6884143560).

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

2231402040 is a wasteful number, since it uses less digits than its factorization.

2231402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2231402040 is about 47237.7184038349. The cubic root of 2231402040 is about 1306.7503003644.

Adding to 2231402040 its reverse (402041322), we get a palindrome (2633443362).

The spelling of 2231402040 in words is "two billion, two hundred thirty-one million, four hundred two thousand, forty".