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1797228 = 2235432
BaseRepresentation
bin110110110110001101100
310101022100000
412312301230
5430002403
6102304300
721163506
oct6666154
93338300
101797228
111018314
12728090
134ac064
1434ad76
152577a3
hex1b6c6c

1797228 has 54 divisors (see below), whose sum is σ = 4823364. Its totient is φ = 585144.

The previous prime is 1797227. The next prime is 1797239. The reversal of 1797228 is 8227971.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (14112) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1797192 and 1797201.

It is not an unprimeable number, because it can be changed into a prime (1797227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41775 + ... + 41817.

21797228 is an apocalyptic number.

1797228 is a gapful number since it is divisible by the number (18) 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 1797228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411682).

1797228 is an abundant number, since it is smaller than the sum of its proper divisors (3026136).

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

1797228 is an equidigital number, since it uses as much as digits as its factorization.

1797228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1797228 is about 1340.6073250583. The cubic root of 1797228 is about 121.5815638890.

It can be divided in two parts, 1797 and 228, that added together give a square (2025 = 452).

The spelling of 1797228 in words is "one million, seven hundred ninety-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 1849 2322 3483 3698 4644 5547 6966 7396 10449 11094 13932 16641 20898 22188 33282 41796 49923 66564 99846 149769 199692 299538 449307 599076 898614 1797228