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1220225000 = 235548809
BaseRepresentation
bin100100010111011…
…0010011111101000
310011001001212000112
41020232302133220
54444334200000
6321025353452
742144512201
oct11056623750
93131055015
101220225000
11576870115
122a0798888
13165a56137
14b80b65a8
15721d3235
hex48bb27e8

1220225000 has 48 divisors (see below), whose sum is σ = 2859777900. Its totient is φ = 488080000.

The previous prime is 1220224991. The next prime is 1220225021. The reversal of 1220225000 is 5220221.

It can be written as a sum of positive squares in 6 ways, for example, as 213685924 + 1006539076 = 14618^2 + 31726^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596 + ... + 49404.

Almost surely, 21220225000 is an apocalyptic number.

1220225000 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 1220225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429888950).

1220225000 is an abundant number, since it is smaller than the sum of its proper divisors (1639552900).

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

1220225000 is an frugal number, since it uses more digits than its factorization.

1220225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48840 (or 48816 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 1220225000 is about 34931.7191102871. The cubic root of 1220225000 is about 1068.5954144142.

Adding to 1220225000 its reverse (5220221), we get a palindrome (1225445221).

The spelling of 1220225000 in words is "one billion, two hundred twenty million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 48809 97618 195236 244045 390472 488090 976180 1220225 1952360 2440450 4880900 6101125 9761800 12202250 24404500 30505625 48809000 61011250 122022500 152528125 244045000 305056250 610112500 1220225000