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228532704 = 25322710487
BaseRepresentation
bin11011001111100…
…10000111100000
3120221000122221020
431213302013200
5432001021304
634402125440
75443332051
oct1547620740
9527018836
10228532704
11108001004
1264650880
133846746a
14224cc728
15150e35d9
hexd9f21e0

228532704 has 48 divisors (see below), whose sum is σ = 602598528. Its totient is φ = 75834752.

The previous prime is 228532699. The next prime is 228532709. The reversal of 228532704 is 407235822.

228532704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228532699) and next prime (228532709).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228532709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16549 + ... + 27035.

It is an arithmetic number, because the mean of its divisors is an integer number (12554136).

Almost surely, 2228532704 is an apocalyptic number.

228532704 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 228532704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301299264).

228532704 is an abundant number, since it is smaller than the sum of its proper divisors (374065824).

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

228532704 is a wasteful number, since it uses less digits than its factorization.

228532704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10719 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 228532704 is about 15117.2981713003. The cubic root of 228532704 is about 611.3868865101.

The spelling of 228532704 in words is "two hundred twenty-eight million, five hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 454 681 908 1362 1816 2724 3632 5448 7264 10487 10896 20974 21792 31461 41948 62922 83896 125844 167792 251688 335584 503376 1006752 2380549 4761098 7141647 9522196 14283294 19044392 28566588 38088784 57133176 76177568 114266352 228532704