Search a number
-
+
2263950 = 234521343
BaseRepresentation
bin1000101000101110001110
311021000120000
420220232032
51034421300
6120305130
725146303
oct10505616
94230500
102263950
111306a37
129121a6
13613620
1442d0aa
152eac00
hex228b8e

2263950 has 120 divisors (see below), whose sum is σ = 6931848. Its totient is φ = 544320.

The previous prime is 2263939. The next prime is 2263957. The reversal of 2263950 is 593622.

2263950 is a `hidden beast` number, since 22 + 639 + 5 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263957) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52629 + ... + 52671.

22263950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2263950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465924).

2263950 is an abundant number, since it is smaller than the sum of its proper divisors (4667898).

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

2263950 is a wasteful number, since it uses less digits than its factorization.

2263950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 66 counting only the distinct ones).

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

The square root of 2263950 is about 1504.6428147570. The cubic root of 2263950 is about 131.3073219005.

The spelling of 2263950 in words is "two million, two hundred sixty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 43 45 50 54 65 75 78 81 86 90 117 129 130 135 150 162 195 215 225 234 258 270 325 351 387 390 405 430 450 559 585 645 650 675 702 774 810 975 1053 1075 1118 1161 1170 1290 1350 1677 1755 1935 1950 2025 2106 2150 2322 2795 2925 3225 3354 3483 3510 3870 4050 5031 5265 5590 5805 5850 6450 6966 8385 8775 9675 10062 10530 11610 13975 15093 16770 17415 17550 19350 25155 26325 27950 29025 30186 34830 41925 45279 50310 52650 58050 75465 83850 87075 90558 125775 150930 174150 226395 251550 377325 452790 754650 1131975 2263950