Search a number
-
+
2250504 = 233423151
BaseRepresentation
bin1000100101011100001000
311020100010000
420211130020
51034004004
6120123000
725062144
oct10453410
94210100
102250504
1112a7923
12906460
1360a479
14428224
152e6c39
hex225708

2250504 has 80 divisors (see below), whose sum is σ = 6621120. Its totient is φ = 712800.

The previous prime is 2250503. The next prime is 2250509. The reversal of 2250504 is 4050522.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2250503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14829 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (82764).

22250504 is an apocalyptic number.

2250504 is a gapful number since it is divisible by the number (24) 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 2250504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310560).

2250504 is an abundant number, since it is smaller than the sum of its proper divisors (4370616).

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

2250504 is a wasteful number, since it uses less digits than its factorization.

2250504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2250504 is about 1500.1679905931. The cubic root of 2250504 is about 131.0468530812.

Adding to 2250504 its sum of digits (18), we get a palindrome (2250522).

The spelling of 2250504 in words is "two million, two hundred fifty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 151 162 184 207 216 276 302 324 414 453 552 604 621 648 828 906 1208 1242 1359 1656 1812 1863 2484 2718 3473 3624 3726 4077 4968 5436 6946 7452 8154 10419 10872 12231 13892 14904 16308 20838 24462 27784 31257 32616 41676 48924 62514 83352 93771 97848 125028 187542 250056 281313 375084 562626 750168 1125252 2250504