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230097024 = 273422193
BaseRepresentation
bin11011011011100…
…00000010000000
3121000222010210000
431231300002000
5432401101044
634455440000
75462535543
oct1555600200
9530863700
10230097024
1110897a333
1265086000
13388944b1
14227b885a
1515301d69
hexdb70080

230097024 has 80 divisors (see below), whose sum is σ = 684795870. Its totient is φ = 76695552.

The previous prime is 230097019. The next prime is 230097031. The reversal of 230097024 is 420790032.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 88962624 = 11880^2 + 9432^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 729 + ... + 21464.

Almost surely, 2230097024 is an apocalyptic number.

230097024 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 230097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342397935).

230097024 is an abundant number, since it is smaller than the sum of its proper divisors (454698846).

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

230097024 is an equidigital number, since it uses as much as digits as its factorization.

230097024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22219 (or 22198 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 230097024 is about 15168.9493373800. The cubic root of 230097024 is about 612.7787088659.

The spelling of 230097024 in words is "two hundred thirty million, ninety-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 22193 44386 66579 88772 133158 177544 199737 266316 355088 399474 532632 599211 710176 798948 1065264 1198422 1420352 1597896 1797633 2130528 2396844 2840704 3195792 3595266 4261056 4793688 6391584 7190532 8522112 9587376 12783168 14381064 19174752 25566336 28762128 38349504 57524256 76699008 115048512 230097024