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228735376 = 241921992
BaseRepresentation
bin11011010001000…
…11100110010000
3120221101221221121
431220203212100
5432024013001
634410332024
75445134662
oct1550434620
9527357847
10228735376
1110812a301
126472a014
133850879c
1422542532
15151336a1
hexda23990

228735376 has 45 divisors (see below), whose sum is σ = 470089611. Its totient is φ = 107803872.

The previous prime is 228735373. The next prime is 228735461. The reversal of 228735376 is 673537822.

The square root of 228735376 is 15124.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×2287353762 = 104639744467722752, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (228735373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1149325 + ... + 1149523.

Almost surely, 2228735376 is an apocalyptic number.

228735376 is the 15124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228735376

228735376 is an abundant number, since it is smaller than the sum of its proper divisors (241354235).

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

228735376 is an equidigital number, since it uses as much as digits as its factorization.

228735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 220 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The cubic root of 228735376 is about 611.5675672751.

The spelling of 228735376 in words is "two hundred twenty-eight million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 19 38 76 152 199 304 361 398 722 796 1444 1592 2888 3184 3781 5776 7562 15124 30248 39601 60496 71839 79202 143678 158404 287356 316808 574712 633616 752419 1149424 1504838 3009676 6019352 12038704 14295961 28591922 57183844 114367688 228735376