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2223014040 = 23325131014703
BaseRepresentation
bin1000010010000000…
…1000000010011000
312201220222210222100
42010200020002120
514023042422130
61004330523400
7106042210332
oct20440100230
95656883870
102223014040
11a40919395
12520596560
1329572b930
1417134c452
15d0265c60
hex84808098

2223014040 has 192 divisors, whose sum is σ = 7859255040. Its totient is φ = 541670400.

The previous prime is 2223014023. The next prime is 2223014051. The reversal of 2223014040 is 404103222.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470329 + ... + 475031.

It is an arithmetic number, because the mean of its divisors is an integer number (40933620).

Almost surely, 22223014040 is an apocalyptic number.

2223014040 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 2223014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929627520).

2223014040 is an abundant number, since it is smaller than the sum of its proper divisors (5636241000).

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

2223014040 is a wasteful number, since it uses less digits than its factorization.

2223014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4827 counting only the distinct ones).

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

The square root of 2223014040 is about 47148.8498269046. The cubic root of 2223014040 is about 1305.1108550741.

Adding to 2223014040 its reverse (404103222), we get a palindrome (2627117262).

The spelling of 2223014040 in words is "two billion, two hundred twenty-three million, fourteen thousand, forty".