[go: up one dir, main page]

Search a number
-
+
2262400 = 27527101
BaseRepresentation
bin1000101000010110000000
311020221102121
420220112000
51034344100
6120254024
725141630
oct10502600
94227377
102262400
111305858
12911314
136129ca
1442c6c0
152ea51a
hex228580

2262400 has 96 divisors (see below), whose sum is σ = 6450480. Its totient is φ = 768000.

The previous prime is 2262397. The next prime is 2262409. The reversal of 2262400 is 42622.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22350 + ... + 22450.

22262400 is an apocalyptic number.

2262400 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 2262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3225240).

2262400 is an abundant number, since it is smaller than the sum of its proper divisors (4188080).

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

2262400 is a wasteful number, since it uses less digits than its factorization.

2262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2262400 is about 1504.1276541571. The cubic root of 2262400 is about 131.2773487982.

It can be divided in two parts, 2262 and 400, that added together give a palindrome (2662).

The spelling of 2262400 in words is "two million, two hundred sixty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 101 112 128 140 160 175 200 202 224 280 320 350 400 404 448 505 560 640 700 707 800 808 896 1010 1120 1400 1414 1600 1616 2020 2240 2525 2800 2828 3200 3232 3535 4040 4480 5050 5600 5656 6464 7070 8080 10100 11200 11312 12928 14140 16160 17675 20200 22400 22624 28280 32320 35350 40400 45248 56560 64640 70700 80800 90496 113120 141400 161600 226240 282800 323200 452480 565600 1131200 2262400