Search a number
-
+
2250939840 = 263512131933
BaseRepresentation
bin1000011000101010…
…1001110111000000
312210212112120222020
42012022221313000
514102220033330
61011205241440
7106531446552
oct20612516700
95725476866
102250939840
11a55662466
12529a03280
1329b458786
14174d3b4d2
15d2930210
hex862a9dc0

2250939840 has 112 divisors (see below), whose sum is σ = 7156326048. Its totient is φ = 599445504.

The previous prime is 2250939829. The next prime is 2250939841. The reversal of 2250939840 is 489390522.

It is a junction number, because it is equal to n+sod(n) for n = 2250939792 and 2250939801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250939841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1163514 + ... + 1165446.

Almost surely, 22250939840 is an apocalyptic number.

2250939840 is a gapful number since it is divisible by the number (20) 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 2250939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578163024).

2250939840 is an abundant number, since it is smaller than the sum of its proper divisors (4905386208).

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

2250939840 is a wasteful number, since it uses less digits than its factorization.

2250939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2250939840 is about 47444.0706516631. The cubic root of 2250939840 is about 1310.5531218988.

The spelling of 2250939840 in words is "two billion, two hundred fifty million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1213 1933 2426 3639 3866 4852 5799 6065 7278 7732 9665 9704 11598 12130 14556 15464 18195 19330 19408 23196 24260 28995 29112 30928 36390 38660 38816 46392 48520 57990 58224 61856 72780 77320 77632 92784 97040 115980 116448 123712 145560 154640 185568 194080 231960 232896 291120 309280 371136 388160 463920 582240 618560 927840 1164480 1855680 2344729 4689458 7034187 9378916 11723645 14068374 18757832 23447290 28136748 35170935 37515664 46894580 56273496 70341870 75031328 93789160 112546992 140683740 150062656 187578320 225093984 281367480 375156640 450187968 562734960 750313280 1125469920 2250939840