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146422100 = 225211212101
BaseRepresentation
bin10001011101000…
…11100101010100
3101012112000100202
420232203211110
5244441001400
622310200032
73425365406
oct1056434524
9335460322
10146422100
1175719100
1241053018
13244484c6
1415636b76
15ccc44d5
hex8ba3954

146422100 has 54 divisors (see below), whose sum is σ = 349275822. Its totient is φ = 53240000.

The previous prime is 146422079. The next prime is 146422103. The reversal of 146422100 is 1224641.

It can be written as a sum of positive squares in 3 ways, for example, as 51437584 + 94984516 = 7172^2 + 9746^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146422103) 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 17 ways as a sum of consecutive naturals, for example, 6050 + ... + 18150.

Almost surely, 2146422100 is an apocalyptic number.

146422100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12100×12101.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174637911).

146422100 is an abundant number, since it is smaller than the sum of its proper divisors (202853722).

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

146422100 is a wasteful number, since it uses less digits than its factorization.

146422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12137 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 146422100 is about 12100.4999896698. The cubic root of 146422100 is about 527.0707033311.

Adding to 146422100 its reverse (1224641), we get a palindrome (147646741).

The spelling of 146422100 in words is "one hundred forty-six million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 12101 24202 48404 60505 121010 133111 242020 266222 302525 532444 605050 665555 1210100 1331110 1464221 2662220 2928442 3327775 5856884 6655550 7321105 13311100 14642210 29284420 36605525 73211050 146422100