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2258802 = 2327213197
BaseRepresentation
bin1000100111011101110010
311020202111100
420213131302
51034240202
6120225230
725125300
oct10473562
94222440
102258802
111303087
1290b216
13611190
1442b270
152e941c
hex227772

2258802 has 72 divisors (see below), whose sum is σ = 6162156. Its totient is φ = 592704.

The previous prime is 2258791. The next prime is 2258803. The reversal of 2258802 is 2088522.

2258802 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2223081 + 35721 = 1491^2 + 189^2 .

2258802 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2258803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11368 + ... + 11564.

22258802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081078).

2258802 is an abundant number, since it is smaller than the sum of its proper divisors (3903354).

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

2258802 is a wasteful number, since it uses less digits than its factorization.

2258802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2258802 is about 1502.9311361470. The cubic root of 2258802 is about 131.2077197148.

The spelling of 2258802 in words is "two million, two hundred fifty-eight thousand, eight hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 197 234 273 294 394 441 546 591 637 819 882 1182 1274 1379 1638 1773 1911 2561 2758 3546 3822 4137 5122 5733 7683 8274 9653 11466 12411 15366 17927 19306 23049 24822 28959 35854 46098 53781 57918 86877 107562 125489 161343 173754 250978 322686 376467 752934 1129401 2258802