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1220148 = 223233893
BaseRepresentation
bin100101001111000110100
32021222201200
410221320310
5303021043
642052500
713241166
oct4517064
92258650
101220148
11763796
124aa130
133394a7
1423a936
151917d3
hex129e34

1220148 has 18 divisors (see below), whose sum is σ = 3084354. Its totient is φ = 406704.

The previous prime is 1220147. The next prime is 1220171. The reversal of 1220148 is 8410221.

It can be written as a sum of positive squares in only one way, i.e., 1140624 + 79524 = 1068^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×12201482 = 2977522283808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1220148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16911 + ... + 16982.

It is an arithmetic number, because the mean of its divisors is an integer number (171353).

21220148 is an apocalyptic number.

1220148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1220148 is an abundant number, since it is smaller than the sum of its proper divisors (1864206).

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

1220148 is a wasteful number, since it uses less digits than its factorization.

1220148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33903 (or 33898 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1220148 is about 1104.6030961391. The cubic root of 1220148 is about 106.8572936708.

Adding to 1220148 its reverse (8410221), we get a palindrome (9630369).

The spelling of 1220148 in words is "one million, two hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 33893 67786 101679 135572 203358 305037 406716 610074 1220148