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146253220 = 22524732957
BaseRepresentation
bin10001011011110…
…10010110100100
3101012012102200221
420231322112210
5244420100340
622302414124
73424063141
oct1055722644
9335172627
10146253220
1175613233
1240b91344
13243b9689
14155d13c8
15cc8e44a
hex8b7a5a4

146253220 has 24 divisors (see below), whose sum is σ = 307359864. Its totient is φ = 58457856.

The previous prime is 146253209. The next prime is 146253223. The reversal of 146253220 is 22352641.

146253220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11182336 + 135070884 = 3344^2 + 11622^2 .

It is not an unprimeable number, because it can be changed into a prime (146253223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47982 + ... + 50938.

It is an arithmetic number, because the mean of its divisors is an integer number (12806661).

Almost surely, 2146253220 is an apocalyptic number.

146253220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146253220 is an abundant number, since it is smaller than the sum of its proper divisors (161106644).

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

146253220 is a wasteful number, since it uses less digits than its factorization.

146253220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5439 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 146253220 is about 12093.5197523302. The cubic root of 146253220 is about 526.8679881587.

The spelling of 146253220 in words is "one hundred forty-six million, two hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2473 2957 4946 5914 9892 11828 12365 14785 24730 29570 49460 59140 7312661 14625322 29250644 36563305 73126610 146253220