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145363230 = 23259716651
BaseRepresentation
bin10001010101000…
…01000100011110
3101010112012212100
420222201010132
5244203110410
622231345530
73413365335
oct1052410436
9333465770
10145363230
1175065601
12408222a6
132416755c
141543cd1c
15cb658c0
hex8aa111e

145363230 has 48 divisors (see below), whose sum is σ = 381863664. Its totient is φ = 38361600.

The previous prime is 145363223. The next prime is 145363241. The reversal of 145363230 is 32363541.

It is a happy number.

It is a super-2 number, since 2×1453632302 = 42260937272065800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145363194 and 145363203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (7955493).

Almost surely, 2145363230 is an apocalyptic number.

145363230 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 145363230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190931832).

145363230 is an abundant number, since it is smaller than the sum of its proper divisors (236500434).

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

145363230 is a wasteful number, since it uses less digits than its factorization.

145363230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16761 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 145363230 is about 12056.6674500046. The cubic root of 145363230 is about 525.7971020808.

It can be divided in two parts, 14536 and 3230, that added together give a triangular number (17766 = T188).

The spelling of 145363230 in words is "one hundred forty-five million, three hundred sixty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 16651 33302 49953 83255 99906 149859 166510 249765 299718 499530 749295 1498590 1615147 3230294 4845441 8075735 9690882 14536323 16151470 24227205 29072646 48454410 72681615 145363230