Search a number
-
+
2274720 = 25357677
BaseRepresentation
bin1000101011010110100000
311021120022220
420223112200
51040242340
6120431040
725222560
oct10532640
94246286
102274720
111314038
12918480
136184b6
14432da0
152eded0
hex22b5a0

2274720 has 96 divisors (see below), whose sum is σ = 8201088. Its totient is φ = 519168.

The previous prime is 2274709. The next prime is 2274733. The reversal of 2274720 is 274722.

2274720 = T15 + T16 + ... + T238.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3022 + ... + 3698.

It is an arithmetic number, because the mean of its divisors is an integer number (85428).

22274720 is an apocalyptic number.

2274720 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 2274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100544).

2274720 is an abundant number, since it is smaller than the sum of its proper divisors (5926368).

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

2274720 is a wasteful number, since it uses less digits than its factorization.

2274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2274720 is about 1508.2174909475. The cubic root of 2274720 is about 131.5152097757.

The spelling of 2274720 in words is "two million, two hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 677 840 1120 1354 1680 2031 2708 3360 3385 4062 4739 5416 6770 8124 9478 10155 10832 13540 14217 16248 18956 20310 21664 23695 27080 28434 32496 37912 40620 47390 54160 56868 64992 71085 75824 81240 94780 108320 113736 142170 151648 162480 189560 227472 284340 324960 379120 454944 568680 758240 1137360 2274720