228759771240 has 3072 divisors, whose sum is σ = 1152797184000. Its totient is φ = 39504568320.

The previous prime is 228759771103. The next prime is 228759771241. The reversal of 228759771240 is 42177957822.

228759771240 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 597 + 7 + 1 + 2 + 40 = 666.

It is a super-2 number, since 2×228759771240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (228759771241) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5319994659 + ... + 5319994701.

It is an arithmetic number, because the mean of its divisors is an integer number (375259500).

Almost surely, 2^228759771240 is an apocalyptic number.

228759771240 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 228759771240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576398592000).

228759771240 is an abundant number, since it is smaller than the sum of its proper divisors (924037412760).

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

228759771240 is a wasteful number, since it uses less digits than its factorization.

228759771240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

It can be divided in two parts, 228759 and 771240, that added together give a palindrome (999999).

The spelling of 228759771240 in words is "two hundred twenty-eight billion, seven hundred fifty-nine million, seven hundred seventy-one thousand, two hundred forty".