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2248260 = 2235753101
BaseRepresentation
bin1000100100111001000100
311020020000220
420210321010
51033421020
6120104340
725052460
oct10447104
94206026
102248260
1112a6173
129050b0
13609441
144274a0
152e6240
hex224e44

2248260 has 96 divisors (see below), whose sum is σ = 7402752. Its totient is φ = 499200.

The previous prime is 2248249. The next prime is 2248271. The reversal of 2248260 is 628422.

2248260 is a nontrivial binomial coefficient, being equal to C(2121, 2).

It is an interprime number because it is at equal distance from previous prime (2248249) and next prime (2248271).

It is a self number, because there is not a number n which added to its sum of digits gives 2248260.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22210 + ... + 22310.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

22248260 is an apocalyptic number.

2248260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2248260 is the 2120-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376).

2248260 is an abundant number, since it is smaller than the sum of its proper divisors (5154492).

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

2248260 is a wasteful number, since it uses less digits than its factorization.

2248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2248260 is about 1499.4198878233. The cubic root of 2248260 is about 131.0032825547.

The spelling of 2248260 in words is "two million, two hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 101 105 106 140 159 202 210 212 265 303 318 371 404 420 505 530 606 636 707 742 795 1010 1060 1113 1212 1414 1484 1515 1590 1855 2020 2121 2226 2828 3030 3180 3535 3710 4242 4452 5353 5565 6060 7070 7420 8484 10605 10706 11130 14140 16059 21210 21412 22260 26765 32118 37471 42420 53530 64236 74942 80295 107060 112413 149884 160590 187355 224826 321180 374710 449652 562065 749420 1124130 2248260