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230077408 = 25114713907
BaseRepresentation
bin11011011011010…
…11001111100000
3121000221010212111
431231223033200
5432344434113
634455205104
75462424421
oct1555531740
9530833774
10230077408
11108966620
1265076794
13388885a2
14227b1648
15152eb13d
hexdb6b3e0

230077408 has 48 divisors (see below), whose sum is σ = 504693504. Its totient is φ = 102348160.

The previous prime is 230077373. The next prime is 230077409. The reversal of 230077408 is 804770032.

It is a super-2 number, since 2×2300774082 = 105871227343996928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230077408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230077409) 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, 9591 + ... + 23497.

It is an arithmetic number, because the mean of its divisors is an integer number (10514448).

Almost surely, 2230077408 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 230077408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252346752).

230077408 is an abundant number, since it is smaller than the sum of its proper divisors (274616096).

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

230077408 is a wasteful number, since it uses less digits than its factorization.

230077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13975 (or 13967 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 230077408 is about 15168.3027395948. The cubic root of 230077408 is about 612.7612950397.

The spelling of 230077408 in words is "two hundred thirty million, seventy-seven thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4136 8272 13907 16544 27814 55628 111256 152977 222512 305954 445024 611908 653629 1223816 1307258 2447632 2614516 4895264 5229032 7189919 10458064 14379838 20916128 28759676 57519352 115038704 230077408