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2248240 = 245157179
BaseRepresentation
bin1000100100111000110000
311020020000011
420210320300
51033420430
6120104304
725052431
oct10447060
94206004
102248240
1112a6155
12905094
13609427
14427488
152e622a
hex224e30

2248240 has 40 divisors (see below), whose sum is σ = 5289840. Its totient is φ = 888576.

The previous prime is 2248237. The next prime is 2248241. The reversal of 2248240 is 428422.

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

It is a super-4 number, since 4×22482404 (a number of 27 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2248241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12471 + ... + 12649.

It is an arithmetic number, because the mean of its divisors is an integer number (132246).

22248240 is an apocalyptic number.

2248240 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 2248240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644920).

2248240 is an abundant number, since it is smaller than the sum of its proper divisors (3041600).

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

2248240 is a wasteful number, since it uses less digits than its factorization.

2248240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2248240 is about 1499.4132185625. The cubic root of 2248240 is about 131.0028940953.

It can be divided in two parts, 22482 and 40, that added together give a palindrome (22522).

The spelling of 2248240 in words is "two million, two hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 179 314 358 628 716 785 895 1256 1432 1570 1790 2512 2864 3140 3580 6280 7160 12560 14320 28103 56206 112412 140515 224824 281030 449648 562060 1124120 2248240