Search a number
-
+
2202720 = 253513353
BaseRepresentation
bin1000011001110001100000
311010220120020
420121301200
51030441340
6115113440
724502632
oct10316140
94126506
102202720
111274a33
128a2880
135c17b0
14414a52
152d79d0
hex219c60

2202720 has 96 divisors (see below), whose sum is σ = 7493472. Its totient is φ = 540672.

The previous prime is 2202719. The next prime is 2202763. The reversal of 2202720 is 272022.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2202720.

It is a congruent number.

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, 6064 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (78057).

22202720 is an apocalyptic number.

2202720 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 2202720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746736).

2202720 is an abundant number, since it is smaller than the sum of its proper divisors (5290752).

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

2202720 is a wasteful number, since it uses less digits than its factorization.

2202720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 2202720 is about 1484.1563259980. The cubic root of 2202720 is about 130.1127227429.

Adding to 2202720 its reverse (272022), we get a palindrome (2474742).

The spelling of 2202720 in words is "two million, two hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 353 390 416 480 520 624 706 780 1040 1059 1248 1412 1560 1765 2080 2118 2824 3120 3530 4236 4589 5295 5648 6240 7060 8472 9178 10590 11296 13767 14120 16944 18356 21180 22945 27534 28240 33888 36712 42360 45890 55068 56480 68835 73424 84720 91780 110136 137670 146848 169440 183560 220272 275340 367120 440544 550680 734240 1101360 2202720