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145516230 = 23354711467
BaseRepresentation
bin10001010110001…
…10011011000110
3101010210222202000
420223012123012
5244223004410
622234530130
73414603366
oct1053063306
9333728660
10145516230
117515a552
1240896946
13241bc0a2
141547c9a6
15cb95dc0
hex8ac66c6

145516230 has 64 divisors (see below), whose sum is σ = 396334080. Its totient is φ = 37975392.

The previous prime is 145516211. The next prime is 145516247. The reversal of 145516230 is 32615541.

145516230 is a `hidden beast` number, since 145 + 516 + 2 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 145516194 and 145516203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6957 + ... + 18423.

It is an arithmetic number, because the mean of its divisors is an integer number (6192720).

Almost surely, 2145516230 is an apocalyptic number.

145516230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145516230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198167040).

145516230 is an abundant number, since it is smaller than the sum of its proper divisors (250817850).

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

145516230 is a wasteful number, since it uses less digits than its factorization.

145516230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11530 (or 11524 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145516230 is about 12063.0108181996. The cubic root of 145516230 is about 525.9815108172.

The spelling of 145516230 in words is "one hundred forty-five million, five hundred sixteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 11467 12690 22934 34401 57335 68802 103203 114670 172005 206406 309609 344010 516015 538949 619218 1032030 1077898 1548045 1616847 2694745 3096090 3233694 4850541 5389490 8084235 9701082 14551623 16168470 24252705 29103246 48505410 72758115 145516230