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145335100 = 22529714983
BaseRepresentation
bin10001010100110…
…10001100111100
3101010110210021111
420222122030330
5244201210400
622231011404
73413220331
oct1052321474
9333423244
10145335100
1175046459
1240809b64
1324157801
1415432988
15cb5c3ba
hex8a9a33c

145335100 has 36 divisors (see below), whose sum is σ = 318649744. Its totient is φ = 57530880.

The previous prime is 145335089. The next prime is 145335107. The reversal of 145335100 is 1533541.

It is a happy number.

It is a super-2 number, since 2×1453351002 = 42244582584020000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145335107) 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 11 ways as a sum of consecutive naturals, for example, 2209 + ... + 17191.

Almost surely, 2145335100 is an apocalyptic number.

145335100 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 145335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159324872).

145335100 is an abundant number, since it is smaller than the sum of its proper divisors (173314644).

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

145335100 is a wasteful number, since it uses less digits than its factorization.

145335100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15094 (or 15087 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 145335100 is about 12055.5008191282. The cubic root of 145335100 is about 525.7631833091.

Adding to 145335100 its reverse (1533541), we get a palindrome (146868641).

The spelling of 145335100 in words is "one hundred forty-five million, three hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 14983 29966 59932 74915 149830 299660 374575 749150 1453351 1498300 2906702 5813404 7266755 14533510 29067020 36333775 72667550 145335100