Search a number
-
+
3220992 = 2933233
BaseRepresentation
bin1100010010011000000000
320001122101000
430102120000
51311032432
6153012000
736243435
oct14223000
96048330
103220992
1118aaa85
1210b4000
1388a118
145dbb8c
1543957c
hex312600

3220992 has 80 divisors (see below), whose sum is σ = 9575280. Its totient is φ = 1069056.

The previous prime is 3220967. The next prime is 3221017. The reversal of 3220992 is 2990223.

It is an interprime number because it is at equal distance from previous prime (3220967) and next prime (3221017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13708 + ... + 13940.

It is an arithmetic number, because the mean of its divisors is an integer number (119691).

Almost surely, 23220992 is an apocalyptic number.

3220992 is a gapful number since it is divisible by the number (32) 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 3220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787640).

3220992 is an abundant number, since it is smaller than the sum of its proper divisors (6354288).

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

3220992 is an equidigital number, since it uses as much as digits as its factorization.

3220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3220992 is about 1794.7122332006. The cubic root of 3220992 is about 147.6827878479.

It can be divided in two parts, 3 and 220992, that multiplied together give a triangular number (662976 = T1151).

The spelling of 3220992 in words is "three million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 256 288 384 432 466 512 576 699 768 864 932 1152 1398 1536 1728 1864 2097 2304 2796 3456 3728 4194 4608 5592 6291 6912 7456 8388 11184 12582 13824 14912 16776 22368 25164 29824 33552 44736 50328 59648 67104 89472 100656 119296 134208 178944 201312 268416 357888 402624 536832 805248 1073664 1610496 3220992