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230044408 = 231117367419
BaseRepresentation
bin11011011011000…
…11001011111000
3121000212110121021
431231203023320
5432342410113
634454352224
75462226256
oct1555431370
9530773537
10230044408
11108943850
126505b674
1338876569
14227a35d6
15152e148d
hexdb632f8

230044408 has 64 divisors (see below), whose sum is σ = 500774400. Its totient is φ = 97912320.

The previous prime is 230044387. The next prime is 230044417. The reversal of 230044408 is 804440032.

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, 548823 + ... + 549241.

It is an arithmetic number, because the mean of its divisors is an integer number (7824600).

Almost surely, 2230044408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230044408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250387200).

230044408 is an abundant number, since it is smaller than the sum of its proper divisors (270729992).

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

230044408 is a wasteful number, since it uses less digits than its factorization.

230044408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 230044408 is about 15167.2149058421. The cubic root of 230044408 is about 612.7319975237.

The spelling of 230044408 in words is "two hundred thirty million, forty-four thousand, four hundred eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 367 374 419 734 748 838 1468 1496 1676 2936 3352 4037 4609 6239 7123 8074 9218 12478 14246 16148 18436 24956 28492 32296 36872 49912 56984 68629 78353 137258 153773 156706 274516 307546 313412 549032 615092 626824 1230184 1691503 2614141 3383006 5228282 6766012 10456564 13532024 20913128 28755551 57511102 115022204 230044408