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230055147 = 35721392
BaseRepresentation
bin11011011011001…
…01110011101011
3121000220000100000
431231211303223
5432343231042
634454514043
75462302500
oct1555456353
9530800300
10230055147
11108950923
1265065923
133887b40a
14227a74a7
15152e474c
hexdb65ceb

230055147 has 54 divisors (see below), whose sum is σ = 403776828. Its totient is φ = 130514328.

The previous prime is 230055143. The next prime is 230055149. The reversal of 230055147 is 741550032.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 230055147 - 22 = 230055143 is a prime.

It is a super-2 number, since 2×2300551472 = 105850741322383218, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230055147.

It is not an unprimeable number, because it can be changed into a prime (230055143) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1655004 + ... + 1655142.

Almost surely, 2230055147 is an apocalyptic number.

230055147 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

230055147 is a deficient number, since it is larger than the sum of its proper divisors (173721681).

230055147 is an frugal number, since it uses more digits than its factorization.

230055147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 230055147 is about 15167.5689218807. The cubic root of 230055147 is about 612.7415319532.

Multiplying 230055147 by its sum of digits (27), we get a square (6211488969 = 788132).

230055147 divided by its sum of digits (27) gives a square (8520561 = 29192).

The spelling of 230055147 in words is "two hundred thirty million, fifty-five thousand, one hundred forty-seven".

Divisors: 1 3 7 9 21 27 49 63 81 139 147 189 243 417 441 567 973 1251 1323 1701 2919 3753 3969 6811 8757 11259 11907 19321 20433 26271 33777 57963 61299 78813 135247 173889 183897 236439 405741 521667 551691 946729 1217223 1565001 1655073 2840187 3651669 4695003 8520561 10955007 25561683 32865021 76685049 230055147