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2247960 = 23351113131
BaseRepresentation
bin1000100100110100011000
311020012121210
420210310120
51033413320
6120103120
725051551
oct10446430
94205553
102247960
1112a5a20
12904aa0
13609270
14427328
152e60e0
hex224d18

2247960 has 128 divisors (see below), whose sum is σ = 7983360. Its totient is φ = 499200.

The previous prime is 2247953. The next prime is 2247977. The reversal of 2247960 is 697422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 25 + 215 + 46 + 7 + 96 + 68 + 0 .

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, 17095 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (62370).

22247960 is an apocalyptic number.

2247960 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 2247960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680).

2247960 is an abundant number, since it is smaller than the sum of its proper divisors (5735400).

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

2247960 is a wasteful number, since it uses less digits than its factorization.

2247960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2247960 is about 1499.3198457968. The cubic root of 2247960 is about 130.9974554213.

The spelling of 2247960 in words is "two million, two hundred forty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 131 132 143 156 165 195 220 260 262 264 286 312 330 390 393 429 440 520 524 572 655 660 715 780 786 858 1048 1144 1310 1320 1430 1441 1560 1572 1703 1716 1965 2145 2620 2860 2882 3144 3406 3432 3930 4290 4323 5109 5240 5720 5764 6812 7205 7860 8515 8580 8646 10218 11528 13624 14410 15720 17030 17160 17292 18733 20436 21615 25545 28820 34060 34584 37466 40872 43230 51090 56199 57640 68120 74932 86460 93665 102180 112398 149864 172920 187330 204360 224796 280995 374660 449592 561990 749320 1123980 2247960