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151256220 = 223513718401
BaseRepresentation
bin10010000001111…
…11110010011100
3101112121121112020
421000333302130
5302210144340
623001540140
73514441143
oct1100776234
9345547466
10151256220
1178420045
12427a4650
132544b92b
141613475a
15d42b9d0
hex903fc9c

151256220 has 48 divisors (see below), whose sum is σ = 426631968. Its totient is φ = 40038400.

The previous prime is 151256201. The next prime is 151256227. The reversal of 151256220 is 22652151.

It is a happy number.

151256220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151256227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981 + ... + 17420.

It is an arithmetic number, because the mean of its divisors is an integer number (8888166).

Almost surely, 2151256220 is an apocalyptic number.

151256220 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 151256220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213315984).

151256220 is an abundant number, since it is smaller than the sum of its proper divisors (275375748).

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

151256220 is a wasteful number, since it uses less digits than its factorization.

151256220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18550 (or 18548 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 151256220 is about 12298.6267526094. The cubic root of 151256220 is about 532.8084219150.

The spelling of 151256220 in words is "one hundred fifty-one million, two hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 18401 36802 55203 73604 92005 110406 184010 220812 276015 368020 552030 1104060 2520937 5041874 7562811 10083748 12604685 15125622 25209370 30251244 37814055 50418740 75628110 151256220