Search a number
-
+
2241100 = 225273307
BaseRepresentation
bin1000100011001001001100
311012212012201
420203021030
51033203400
6120011244
725022551
oct10431114
94185181
102241100
1112a0854
12900b24
136060c4
14424a28
152e406a
hex22324c

2241100 has 36 divisors (see below), whose sum is σ = 4945864. Its totient is φ = 881280.

The previous prime is 2241073. The next prime is 2241119. The reversal of 2241100 is 11422.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an Ulam number.

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, 7147 + ... + 7453.

22241100 is an apocalyptic number.

2241100 is a gapful number since it is divisible by the number (20) 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 2241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472932).

2241100 is an abundant number, since it is smaller than the sum of its proper divisors (2704764).

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

2241100 is a wasteful number, since it uses less digits than its factorization.

2241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2241100 is about 1497.0303938130. The cubic root of 2241100 is about 130.8640665987.

Adding to 2241100 its reverse (11422), we get a palindrome (2252522).

The spelling of 2241100 in words is "two million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 307 365 614 730 1228 1460 1535 1825 3070 3650 6140 7300 7675 15350 22411 30700 44822 89644 112055 224110 448220 560275 1120550 2241100