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2274840 = 233257189
BaseRepresentation
bin1000101011011000011000
311021120111100
420223120120
51040243330
6120431400
725223121
oct10533030
94246440
102274840
111314137
12918560
13618579
14433048
152ee060
hex22b618

2274840 has 96 divisors (see below), whose sum is σ = 7581600. Its totient is φ = 591360.

The previous prime is 2274827. The next prime is 2274841. The reversal of 2274840 is 484722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25516 + ... + 25604.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

22274840 is an apocalyptic number.

2274840 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 2274840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800).

2274840 is an abundant number, since it is smaller than the sum of its proper divisors (5306760).

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

2274840 is a wasteful number, since it uses less digits than its factorization.

2274840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2274840 is about 1508.2572724837. The cubic root of 2274840 is about 131.5175223750.

The spelling of 2274840 in words is "two million, two hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 89 90 120 142 178 180 213 267 284 355 356 360 426 445 534 568 639 710 712 801 852 890 1065 1068 1278 1335 1420 1602 1704 1780 2130 2136 2556 2670 2840 3195 3204 3560 4005 4260 5112 5340 6319 6390 6408 8010 8520 10680 12638 12780 16020 18957 25276 25560 31595 32040 37914 50552 56871 63190 75828 94785 113742 126380 151656 189570 227484 252760 284355 379140 454968 568710 758280 1137420 2274840