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146227800 = 2335219101127
BaseRepresentation
bin10001011011101…
…00001001011000
3101012011010211110
420231310021120
5244413242200
622302100320
73423626055
oct1055641130
9335133743
10146227800
11755a6124
1240b7a6a0
13243aac34
14155c602c
15cc86b50
hex8b74258

146227800 has 192 divisors, whose sum is σ = 485683200. Its totient is φ = 36288000.

The previous prime is 146227777. The next prime is 146227841. The reversal of 146227800 is 8722641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151337 + ... + 1151463.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2146227800 is an apocalyptic number.

146227800 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 146227800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242841600).

146227800 is an abundant number, since it is smaller than the sum of its proper divisors (339455400).

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

146227800 is a wasteful number, since it uses less digits than its factorization.

146227800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 146227800 is about 12092.4687305777. The cubic root of 146227800 is about 526.8374617419.

It can be divided in two parts, 14622 and 7800, that added together give a palindrome (22422).

The spelling of 146227800 in words is "one hundred forty-six million, two hundred twenty-seven thousand, eight hundred".