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1225938 = 237172101
BaseRepresentation
bin100101011010011010010
32022021200010
410223103102
5303212223
642135350
713264110
oct4532322
92267603
101225938
1176807a
124b1556
1333c00c
1423cab0
15193393
hex12b4d2

1225938 has 48 divisors (see below), whose sum is σ = 3006144. Its totient is φ = 326400.

The previous prime is 1225933. The next prime is 1225949. The reversal of 1225938 is 8395221.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 24 + 220 + 53 + 9 + 311 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225933) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12088 + ... + 12188.

It is an arithmetic number, because the mean of its divisors is an integer number (62628).

21225938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503072).

1225938 is an abundant number, since it is smaller than the sum of its proper divisors (1780206).

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

1225938 is a wasteful number, since it uses less digits than its factorization.

1225938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 1225938 is about 1107.2208451795. The cubic root of 1225938 is about 107.0260512455.

The spelling of 1225938 in words is "one million, two hundred twenty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 101 102 119 202 238 289 303 357 578 606 707 714 867 1414 1717 1734 2023 2121 3434 4046 4242 5151 6069 10302 12019 12138 24038 29189 36057 58378 72114 87567 175134 204323 408646 612969 1225938