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145512220 = 225710310091
BaseRepresentation
bin10001010110001…
…01011100011100
3101010210210020111
420223011130130
5244222342340
622234455404
73414555610
oct1053053434
9333723214
10145512220
1175157537
1240894564
13241ba309
141547b340
15cb94aea
hex8ac571c

145512220 has 48 divisors (see below), whose sum is σ = 352654848. Its totient is φ = 49400640.

The previous prime is 145512209. The next prime is 145512223. The reversal of 145512220 is 22215541.

It is a junction number, because it is equal to n+sod(n) for n = 145512191 and 145512200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145512223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9375 + ... + 19465.

It is an arithmetic number, because the mean of its divisors is an integer number (7346976).

Almost surely, 2145512220 is an apocalyptic number.

145512220 is a gapful number since it is divisible by the number (10) 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 145512220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176327424).

145512220 is an abundant number, since it is smaller than the sum of its proper divisors (207142628).

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

145512220 is a wasteful number, since it uses less digits than its factorization.

145512220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145512220 is about 12062.8446064765. The cubic root of 145512220 is about 525.9766792708.

Adding to 145512220 its reverse (22215541), we get a palindrome (167727761).

The spelling of 145512220 in words is "one hundred forty-five million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 721 1030 1442 2060 2884 3605 7210 10091 14420 20182 40364 50455 70637 100910 141274 201820 282548 353185 706370 1039373 1412740 2078746 4157492 5196865 7275611 10393730 14551222 20787460 29102444 36378055 72756110 145512220