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2250240 = 2935293
BaseRepresentation
bin1000100101011000000000
311020022202020
420211120000
51034001430
6120121440
725061316
oct10453000
94208666
102250240
1112a7703
12906280
1360a305
144280b6
152e6b10
hex225600

2250240 has 80 divisors (see below), whose sum is σ = 7218288. Its totient is φ = 598016.

The previous prime is 2250223. The next prime is 2250247. The reversal of 2250240 is 420522.

2250240 = T491 + T492 + ... + T508.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250247) 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, 7534 + ... + 7826.

22250240 is an apocalyptic number.

2250240 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 2250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144).

2250240 is an abundant number, since it is smaller than the sum of its proper divisors (4968048).

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

2250240 is an equidigital number, since it uses as much as digits as its factorization.

2250240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2250240 is about 1500.0799978668. The cubic root of 2250240 is about 131.0417286406.

Adding to 2250240 its reverse (420522), we get a palindrome (2670762).

The spelling of 2250240 in words is "two million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 293 320 384 480 512 586 640 768 879 960 1172 1280 1465 1536 1758 1920 2344 2560 2930 3516 3840 4395 4688 5860 7032 7680 8790 9376 11720 14064 17580 18752 23440 28128 35160 37504 46880 56256 70320 75008 93760 112512 140640 150016 187520 225024 281280 375040 450048 562560 750080 1125120 2250240