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146225260 = 225231272503
BaseRepresentation
bin10001011011100…
…11100001101100
3101012011000100101
420231303201230
5244413202020
622302040444
73423615466
oct1055634154
9335130311
10146225260
11755a4225
1240b79124
13243a9a2c
14155c5136
15cc8600a
hex8b7386c

146225260 has 48 divisors (see below), whose sum is σ = 323076096. Its totient is φ = 55484352.

The previous prime is 146225257. The next prime is 146225263. The reversal of 146225260 is 62522641.

146225260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146225257) and next prime (146225263).

It is not an unprimeable number, because it can be changed into a prime (146225263) 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, 57169 + ... + 59671.

It is an arithmetic number, because the mean of its divisors is an integer number (6730752).

Almost surely, 2146225260 is an apocalyptic number.

146225260 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 146225260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161538048).

146225260 is an abundant number, since it is smaller than the sum of its proper divisors (176850836).

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

146225260 is a wasteful number, since it uses less digits than its factorization.

146225260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 146225260 is about 12092.3637060750. The cubic root of 146225260 is about 526.8344113076.

The spelling of 146225260 in words is "one hundred forty-six million, two hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 2503 2540 2921 5006 5842 10012 11684 12515 14605 25030 29210 50060 57569 58420 115138 230276 287845 317881 575690 635762 1151380 1271524 1589405 3178810 6357620 7311263 14622526 29245052 36556315 73112630 146225260