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228789157824 = 2635233759293
BaseRepresentation
bin1101010100010011100…
…1010111111111000000
3210212112201011102200000
43111010321113333000
512222030011022244
6253034305400000
722346415516513
oct3250471277700
9725481142600
10228789157824
1189035573617
1238411039000
1318761894ac6
14b1057b6d7a
155e40b20169
hex3544e57fc0

228789157824 has 672 divisors, whose sum is σ = 743701271040. Its totient is φ = 69534609408.

The previous prime is 228789157811. The next prime is 228789157867. The reversal of 228789157824 is 428751987822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 780850222 + ... + 780850514.

It is an arithmetic number, because the mean of its divisors is an integer number (1106698320).

Almost surely, 2228789157824 is an apocalyptic number.

228789157824 is a gapful number since it is divisible by the number (24) 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 228789157824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371850635520).

228789157824 is an abundant number, since it is smaller than the sum of its proper divisors (514912113216).

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

228789157824 is a wasteful number, since it uses less digits than its factorization.

228789157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 417 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 228789157824 in words is "two hundred twenty-eight billion, seven hundred eighty-nine million, one hundred fifty-seven thousand, eight hundred twenty-four".