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2274680 = 235194173
BaseRepresentation
bin1000101011010101111000
311021120021102
420223111320
51040242210
6120430532
725222502
oct10532570
94246242
102274680
111314001
12918448
13618485
14432d72
152edea5
hex22b578

2274680 has 64 divisors (see below), whose sum is σ = 5594400. Its totient is φ = 829440.

The previous prime is 2274667. The next prime is 2274683. The reversal of 2274680 is 864722.

2274680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2274683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31124 + ... + 31196.

22274680 is an apocalyptic number.

2274680 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 2274680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797200).

2274680 is an abundant number, since it is smaller than the sum of its proper divisors (3319720).

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

2274680 is a wasteful number, since it uses less digits than its factorization.

2274680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2274680 is about 1508.2042302023. The cubic root of 2274680 is about 131.5144388912.

The spelling of 2274680 in words is "two million, two hundred seventy-four thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 41 73 76 82 95 146 152 164 190 205 292 328 365 380 410 584 730 760 779 820 1387 1460 1558 1640 2774 2920 2993 3116 3895 5548 5986 6232 6935 7790 11096 11972 13870 14965 15580 23944 27740 29930 31160 55480 56867 59860 113734 119720 227468 284335 454936 568670 1137340 2274680