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2238889440 = 253531379397
BaseRepresentation
bin1000010101110010…
…1011110111100000
312210000212100221010
42011130223313200
514041123430230
61010055100520
7106324150314
oct20534536740
95700770833
102238889440
11a49881857
12525971740
13298ac9868
141734c1b44
15d184e9b0
hex8572bde0

2238889440 has 192 divisors, whose sum is σ = 7317596160. Its totient is φ = 574801920.

The previous prime is 2238889427. The next prime is 2238889447. The reversal of 2238889440 is 449888322.

2238889440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2238889440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238889447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5639322 + ... + 5639718.

It is an arithmetic number, because the mean of its divisors is an integer number (38112480).

Almost surely, 22238889440 is an apocalyptic number.

2238889440 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 2238889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658798080).

2238889440 is an abundant number, since it is smaller than the sum of its proper divisors (5078706720).

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

2238889440 is a wasteful number, since it uses less digits than its factorization.

2238889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2238889440 is about 47316.9043788792. The cubic root of 2238889440 is about 1308.2102552709.

The spelling of 2238889440 in words is "two billion, two hundred thirty-eight million, eight hundred eighty-nine thousand, four hundred forty".