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145226200 = 2352732973
BaseRepresentation
bin10001010011111…
…11100111011000
3101010021020220011
420221333213120
5244134214300
622224411304
73412255000
oct1051774730
9333236804
10145226200
1174a81659
1240776b34
132411a082
1415405000
15cb39eba
hex8a7f9d8

145226200 has 192 divisors, whose sum is σ = 412920000. Its totient is φ = 47416320.

The previous prime is 145226161. The next prime is 145226219. The reversal of 145226200 is 2622541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989364 + ... + 1989436.

It is an arithmetic number, because the mean of its divisors is an integer number (2150625).

Almost surely, 2145226200 is an apocalyptic number.

145226200 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 145226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206460000).

145226200 is an abundant number, since it is smaller than the sum of its proper divisors (267693800).

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

145226200 is a wasteful number, since it uses less digits than its factorization.

145226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 145226200 is about 12050.9833623651. The cubic root of 145226200 is about 525.6318318846.

Adding to 145226200 its reverse (2622541), we get a palindrome (147848741).

The spelling of 145226200 in words is "one hundred forty-five million, two hundred twenty-six thousand, two hundred".