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2248500 = 223531499
BaseRepresentation
bin1000100100111100110100
311020020100210
420210330310
51033423000
6120105420
725053252
oct10447464
94206323
102248500
1112a6371
12905270
13609597
144275d2
152e6350
hex224f34

2248500 has 48 divisors (see below), whose sum is σ = 6552000. Its totient is φ = 599200.

The previous prime is 2248489. The next prime is 2248507. The reversal of 2248500 is 58422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (136500).

22248500 is an apocalyptic number.

2248500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 1499×1500.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276000).

2248500 is an abundant number, since it is smaller than the sum of its proper divisors (4303500).

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

2248500 is a wasteful number, since it uses less digits than its factorization.

2248500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2248500 is about 1499.4999166389. The cubic root of 2248500 is about 131.0079438883.

The spelling of 2248500 in words is "two million, two hundred forty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1499 1500 2998 4497 5996 7495 8994 14990 17988 22485 29980 37475 44970 74950 89940 112425 149900 187375 224850 374750 449700 562125 749500 1124250 2248500