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2290260 = 2235721941
BaseRepresentation
bin1000101111001001010100
311022100122110
420233021110
51041242020
6121031020
725316100
oct10571124
94270573
102290260
111324785
12925470
136225ab
14438900
153038e0
hex22f254

2290260 has 144 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 483840.

The previous prime is 2290259. The next prime is 2290283. The reversal of 2290260 is 620922.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55840 + ... + 55880.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

22290260 is an apocalyptic number.

2290260 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 2290260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2290260 is an abundant number, since it is smaller than the sum of its proper divisors (5753580).

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

2290260 is a wasteful number, since it uses less digits than its factorization.

2290260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2290260 is about 1513.3604990220. The cubic root of 2290260 is about 131.8140172359.

The spelling of 2290260 in words is "two million, two hundred ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 41 42 49 57 60 70 76 82 84 95 98 105 114 123 133 140 147 164 190 196 205 210 228 245 246 266 285 287 294 380 399 410 420 490 492 532 570 574 588 615 665 735 779 798 820 861 931 980 1140 1148 1230 1330 1435 1470 1558 1596 1722 1862 1995 2009 2337 2460 2660 2793 2870 2940 3116 3444 3724 3895 3990 4018 4305 4655 4674 5453 5586 5740 6027 7790 7980 8036 8610 9310 9348 10045 10906 11172 11685 12054 13965 15580 16359 17220 18620 20090 21812 23370 24108 27265 27930 30135 32718 38171 40180 46740 54530 55860 60270 65436 76342 81795 109060 114513 120540 152684 163590 190855 229026 327180 381710 458052 572565 763420 1145130 2290260