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2251530 = 233531269
BaseRepresentation
bin1000100101101100001010
311020101112000
420211230022
51034022110
6120131430
725065141
oct10455412
94211460
102251530
1112a8676
12906b76
1360aa88
14428758
152e71c0
hex225b0a

2251530 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 578880.

The previous prime is 2251517. The next prime is 2251547. The reversal of 2251530 is 351522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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, 8236 + ... + 8504.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22251530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2251530 is an abundant number, since it is smaller than the sum of its proper divisors (3969270).

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

2251530 is a wasteful number, since it uses less digits than its factorization.

2251530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2251530 is about 1500.5099133295. The cubic root of 2251530 is about 131.0667647164.

The spelling of 2251530 in words is "two million, two hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 269 270 279 310 465 538 558 807 837 930 1345 1395 1614 1674 2421 2690 2790 4035 4185 4842 7263 8070 8339 8370 12105 14526 16678 24210 25017 36315 41695 50034 72630 75051 83390 125085 150102 225153 250170 375255 450306 750510 1125765 2251530