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228974592 = 21337113
BaseRepresentation
bin11011010010111…
…10000000000000
3120221212010002110
431221132000000
5432104141332
634415415320
75450152260
oct1551360000
9527763073
10228974592
11108283000
1264824540
1338590632
14225a57a0
151517e4cc
hexda5e000

228974592 has 224 divisors, whose sum is σ = 767510784. Its totient is φ = 59473920.

The previous prime is 228974573. The next prime is 228974651. The reversal of 228974592 is 295479822.

228974592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20815867 + ... + 20815877.

Almost surely, 2228974592 is an apocalyptic number.

228974592 is a gapful number since it is divisible by the number (22) 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 228974592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383755392).

228974592 is an abundant number, since it is smaller than the sum of its proper divisors (538536192).

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

228974592 is an frugal number, since it uses more digits than its factorization.

228974592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 228974592 is about 15131.9064231841. The cubic root of 228974592 is about 611.7806895000.

The spelling of 228974592 in words is "two hundred twenty-eight million, nine hundred seventy-four thousand, five hundred ninety-two".