Search a number
-
+
2241096 = 2331113653
BaseRepresentation
bin1000100011001001001000
311012212012120
420203021020
51033203341
6120011240
725022544
oct10431110
94185176
102241096
1112a0850
12900b20
136060c0
14424a24
152e4066
hex223248

2241096 has 64 divisors (see below), whose sum is σ = 6592320. Its totient is φ = 625920.

The previous prime is 2241073. The next prime is 2241119. The reversal of 2241096 is 6901422.

It is an interprime number because it is at equal distance from previous prime (2241073) and next prime (2241119).

It is a super-2 number, since 2×22410962 = 10045022562432, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3106 + ... + 3758.

It is an arithmetic number, because the mean of its divisors is an integer number (103005).

22241096 is an apocalyptic number.

2241096 is a gapful number since it is divisible by the number (26) 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 2241096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296160).

2241096 is an abundant number, since it is smaller than the sum of its proper divisors (4351224).

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

2241096 is a wasteful number, since it uses less digits than its factorization.

2241096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2241096 is about 1497.0290578342. The cubic root of 2241096 is about 130.8639887416.

It can be divided in two parts, 224109 and 6, that added together give a triangular number (224115 = T669).

The spelling of 2241096 in words is "two million, two hundred forty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 653 858 1144 1306 1716 1959 2612 3432 3918 5224 7183 7836 8489 14366 15672 16978 21549 25467 28732 33956 43098 50934 57464 67912 86196 93379 101868 172392 186758 203736 280137 373516 560274 747032 1120548 2241096