Search a number
-
+
2266480 = 24541691
BaseRepresentation
bin1000101001010101110000
311021011000201
420221111300
51040011410
6120324544
725156546
oct10512560
94234021
102266480
111308927
12913754
13614818
1442dd96
152eb83a
hex229570

2266480 has 40 divisors (see below), whose sum is σ = 5405904. Its totient is φ = 883200.

The previous prime is 2266477. The next prime is 2266493. The reversal of 2266480 is 846622.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2935 + ... + 3625.

22266480 is an apocalyptic number.

2266480 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 2266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702952).

2266480 is an abundant number, since it is smaller than the sum of its proper divisors (3139424).

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

2266480 is a wasteful number, since it uses less digits than its factorization.

2266480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2266480 is about 1505.4833110998. The cubic root of 2266480 is about 131.3562163625.

The spelling of 2266480 in words is "two million, two hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 691 820 1382 1640 2764 3280 3455 5528 6910 11056 13820 27640 28331 55280 56662 113324 141655 226648 283310 453296 566620 1133240 2266480