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2258620 = 2257131773
BaseRepresentation
bin1000100111011010111100
311020202020121
420213122330
51034233440
6120224324
725124620
oct10473274
94222217
102258620
111302a31
1290b0a4
13611080
1442b180
152e934a
hex2276bc

2258620 has 96 divisors (see below), whose sum is σ = 6265728. Its totient is φ = 663552.

The previous prime is 2258617. The next prime is 2258621. The reversal of 2258620 is 268522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30904 + ... + 30976.

It is an arithmetic number, because the mean of its divisors is an integer number (65268).

22258620 is an apocalyptic number.

2258620 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 2258620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132864).

2258620 is an abundant number, since it is smaller than the sum of its proper divisors (4007108).

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

2258620 is a wasteful number, since it uses less digits than its factorization.

2258620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2258620 is about 1502.8705865776. The cubic root of 2258620 is about 131.2041956570.

The spelling of 2258620 in words is "two million, two hundred fifty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 73 85 91 119 130 140 146 170 182 221 238 260 292 340 364 365 442 455 476 511 595 730 884 910 949 1022 1105 1190 1241 1460 1547 1820 1898 2044 2210 2380 2482 2555 3094 3796 4420 4745 4964 5110 6188 6205 6643 7735 8687 9490 10220 12410 13286 15470 16133 17374 18980 24820 26572 30940 32266 33215 34748 43435 64532 66430 80665 86870 112931 132860 161330 173740 225862 322660 451724 564655 1129310 2258620