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2231402440 = 235431737499
BaseRepresentation
bin1000010100000000…
…0111111111001000
312202111202222200211
42011000013333020
514032214334230
61005230410504
7106203415321
oct20500077710
95674688624
102231402440
11a45628753
12523360a34
132973a7a97
141724d3448
15d0d7142a
hex85007fc8

2231402440 has 64 divisors (see below), whose sum is σ = 5167800000. Its totient is φ = 866648832.

The previous prime is 2231402363. The next prime is 2231402441. The reversal of 2231402440 is 442041322.

It is a happy number.

It is a super-3 number, since 3×22314024403 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231402441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293811 + ... + 301309.

It is an arithmetic number, because the mean of its divisors is an integer number (80746875).

Almost surely, 22231402440 is an apocalyptic number.

2231402440 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 2231402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583900000).

2231402440 is an abundant number, since it is smaller than the sum of its proper divisors (2936397560).

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

2231402440 is a wasteful number, since it uses less digits than its factorization.

2231402440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7726 (or 7722 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2231402440 is about 47237.7226377394. The cubic root of 2231402440 is about 1306.7503784469.

Adding to 2231402440 its reverse (442041322), we get a palindrome (2673443762).

The spelling of 2231402440 in words is "two billion, two hundred thirty-one million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 173 215 344 346 430 692 860 865 1384 1720 1730 3460 6920 7439 7499 14878 14998 29756 29996 37195 37495 59512 59992 74390 74990 148780 149980 297560 299960 322457 644914 1289828 1297327 1612285 2579656 2594654 3224570 5189308 6449140 6486635 10378616 12898280 12973270 25946540 51893080 55785061 111570122 223140244 278925305 446280488 557850610 1115701220 2231402440