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2264240 = 245113183
BaseRepresentation
bin1000101000110010110000
311021000221202
420220302300
51034423430
6120310332
725150166
oct10506260
94230852
102264240
111307180
129123a8
136137b4
1442d236
152ead45
hex228cb0

2264240 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 787200.

The previous prime is 2264239. The next prime is 2264267. The reversal of 2264240 is 424622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27239 + ... + 27321.

22264240 is an apocalyptic number.

2264240 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 2264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2264240 is an abundant number, since it is smaller than the sum of its proper divisors (3735376).

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

2264240 is a wasteful number, since it uses less digits than its factorization.

2264240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2264240 is about 1504.7391800575. The cubic root of 2264240 is about 131.3129282518.

Adding to 2264240 its reverse (424622), we get a palindrome (2688862).

The spelling of 2264240 in words is "two million, two hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 83 88 110 124 155 166 176 220 248 310 332 341 415 440 496 620 664 682 830 880 913 1240 1328 1364 1660 1705 1826 2480 2573 2728 3320 3410 3652 4565 5146 5456 6640 6820 7304 9130 10292 12865 13640 14608 18260 20584 25730 27280 28303 36520 41168 51460 56606 73040 102920 113212 141515 205840 226424 283030 452848 566060 1132120 2264240