Search a number
-
+
2260848 = 243193767
BaseRepresentation
bin1000100111111101110000
311020212022010
420213331300
51034321343
6120242520
725134252
oct10477560
94225263
102260848
111304677
12910440
136120a5
1442bcd2
152e9d33
hex227f70

2260848 has 80 divisors (see below), whose sum is σ = 6408320. Its totient is φ = 684288.

The previous prime is 2260823. The next prime is 2260859. The reversal of 2260848 is 8480622.

It is a happy number.

It is a super-2 number, since 2×22608482 = 10222867358208, which contains 22 as substring.

It is an Ulam number.

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, 33711 + ... + 33777.

It is an arithmetic number, because the mean of its divisors is an integer number (80104).

22260848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204160).

2260848 is an abundant number, since it is smaller than the sum of its proper divisors (4147472).

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

2260848 is a wasteful number, since it uses less digits than its factorization.

2260848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2260848 is about 1503.6116519900. The cubic root of 2260848 is about 131.2473233014.

The spelling of 2260848 in words is "two million, two hundred sixty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 67 74 76 111 114 134 148 152 201 222 228 268 296 304 402 444 456 536 592 703 804 888 912 1072 1273 1406 1608 1776 2109 2479 2546 2812 3216 3819 4218 4958 5092 5624 7437 7638 8436 9916 10184 11248 14874 15276 16872 19832 20368 29748 30552 33744 39664 47101 59496 61104 94202 118992 141303 188404 282606 376808 565212 753616 1130424 2260848