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2254980 = 2235721359
BaseRepresentation
bin1000100110100010000100
311020120020210
420212202010
51034124410
6120155420
725111200
oct10464204
94216223
102254980
111300222
12908b70
1360c510
14429b00
152e8220
hex226884

2254980 has 144 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 467712.

The previous prime is 2254969. The next prime is 2255003. The reversal of 2254980 is 894522.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38191 + ... + 38249.

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

22254980 is an apocalyptic number.

2254980 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 2254980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

2254980 is an abundant number, since it is smaller than the sum of its proper divisors (5788860).

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

2254980 is a wasteful number, since it uses less digits than its factorization.

2254980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2254980 is about 1501.6590824818. The cubic root of 2254980 is about 131.1336747105.

The spelling of 2254980 in words is "two million, two hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 59 60 65 70 78 84 91 98 105 118 130 140 147 156 177 182 195 196 210 236 245 260 273 294 295 354 364 390 413 420 455 490 546 588 590 637 708 735 767 780 826 885 910 980 1092 1180 1239 1274 1365 1470 1534 1652 1770 1820 1911 2065 2301 2478 2548 2730 2891 2940 3068 3185 3540 3822 3835 4130 4602 4956 5369 5460 5782 6195 6370 7644 7670 8260 8673 9204 9555 10738 11505 11564 12390 12740 14455 15340 16107 17346 19110 21476 23010 24780 26845 28910 32214 34692 37583 38220 43365 46020 53690 57820 64428 75166 80535 86730 107380 112749 150332 161070 173460 187915 225498 322140 375830 450996 563745 751660 1127490 2254980