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146225736 = 233625073
BaseRepresentation
bin10001011011100…
…11101001001000
3101012011001000000
420231303221020
5244413210421
622302043000
73423620046
oct1055635110
9335131000
10146225736
11755a4618
1240b79460
13243aa007
14155c5396
15cc86226
hex8b73a48

146225736 has 56 divisors (see below), whose sum is σ = 411088230. Its totient is φ = 48739968.

The previous prime is 146225731. The next prime is 146225741. The reversal of 146225736 is 637522641.

It is an interprime number because it is at equal distance from previous prime (146225731) and next prime (146225741).

It can be written as a sum of positive squares in only one way, i.e., 129823236 + 16402500 = 11394^2 + 4050^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 146225736.

It is not an unprimeable number, because it can be changed into a prime (146225731) 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 13 ways as a sum of consecutive naturals, for example, 6705 + ... + 18368.

Almost surely, 2146225736 is an apocalyptic number.

It is an amenable number.

146225736 is an abundant number, since it is smaller than the sum of its proper divisors (264862494).

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

146225736 is an equidigital number, since it uses as much as digits as its factorization.

146225736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25097 (or 25078 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 146225736 is about 12092.3833879017. The cubic root of 146225736 is about 526.8349829665.

The spelling of 146225736 in words is "one hundred forty-six million, two hundred twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 25073 50146 75219 100292 150438 200584 225657 300876 451314 601752 676971 902628 1353942 1805256 2030913 2707884 4061826 5415768 6092739 8123652 12185478 16247304 18278217 24370956 36556434 48741912 73112868 146225736