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230451408 = 243211145487
BaseRepresentation
bin11011011110001…
…10100011010000
3121001122010220100
431233012203100
5432443421113
634511212400
75465542665
oct1557064320
9531563810
10230451408
111090a1610
1265217100
13389898a5
142286ba6c
1515371d73
hexdbc68d0

230451408 has 60 divisors (see below), whose sum is σ = 703579968. Its totient is φ = 69833280.

The previous prime is 230451359. The next prime is 230451413. The reversal of 230451408 is 804154032.

230451408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71160 + ... + 74327.

Almost surely, 2230451408 is an apocalyptic number.

It is an amenable number.

230451408 is an abundant number, since it is smaller than the sum of its proper divisors (473128560).

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

230451408 is a wasteful number, since it uses less digits than its factorization.

230451408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145512 (or 145503 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 230451408 is about 15180.6260740458. The cubic root of 230451408 is about 613.0931379353.

The spelling of 230451408 in words is "two hundred thirty million, four hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 145487 290974 436461 581948 872922 1163896 1309383 1600357 1745844 2327792 2618766 3200714 3491688 4801071 5237532 6401428 6983376 9602142 10475064 12802856 14403213 19204284 20950128 25605712 28806426 38408568 57612852 76817136 115225704 230451408