Search a number
-
+
3225096 = 2336779
BaseRepresentation
bin1100010011011000001000
320001212000000
430103120020
51311200341
6153043000
736261420
oct14233010
96055000
103225096
111903076
1210b6460
1388bc54
145dd480
1543a8b6
hex313608

3225096 has 112 divisors (see below), whose sum is σ = 10492800. Its totient is φ = 909792.

The previous prime is 3225091. The next prime is 3225097. The reversal of 3225096 is 6905223.

3225096 = T311 + T312 + ... + T366.

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

It is not an unprimeable number, because it can be changed into a prime (3225091) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 40785 + ... + 40863.

Almost surely, 23225096 is an apocalyptic number.

3225096 is a gapful number since it is divisible by the number (36) 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 3225096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246400).

3225096 is an abundant number, since it is smaller than the sum of its proper divisors (7267704).

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

3225096 is an equidigital number, since it uses as much as digits as its factorization.

3225096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3225096 is about 1795.8552280181. The cubic root of 3225096 is about 147.7454841569.

The spelling of 3225096 in words is "three million, two hundred twenty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 81 84 108 126 158 162 168 189 216 237 243 252 316 324 378 474 486 504 553 567 632 648 711 729 756 948 972 1106 1134 1422 1458 1512 1659 1701 1896 1944 2133 2212 2268 2844 2916 3318 3402 4266 4424 4536 4977 5103 5688 5832 6399 6636 6804 8532 9954 10206 12798 13272 13608 14931 17064 19197 19908 20412 25596 29862 38394 39816 40824 44793 51192 57591 59724 76788 89586 115182 119448 134379 153576 179172 230364 268758 358344 403137 460728 537516 806274 1075032 1612548 3225096