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2250678060 = 22325191993307
BaseRepresentation
bin1000011000100110…
…1001111100101100
312210212001021212200
42012021221330230
514102133144220
61011155501500
7106526306421
oct20611517454
95725037780
102250678060
11a554a3814
125298b7890
1329b396587
14174cadd48
15d28cc890
hex86269f2c

2250678060 has 144 divisors (see below), whose sum is σ = 7224672000. Its totient is φ = 565564032.

The previous prime is 2250678037. The next prime is 2250678071. The reversal of 2250678060 is 608760522.

2250678060 is a `hidden beast` number, since 22 + 506 + 78 + 0 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678927 + ... + 682233.

Almost surely, 22250678060 is an apocalyptic number.

2250678060 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 2250678060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612336000).

2250678060 is an abundant number, since it is smaller than the sum of its proper divisors (4973993940).

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

2250678060 is a wasteful number, since it uses less digits than its factorization.

2250678060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2250678060 is about 47441.3117440907. The cubic root of 2250678060 is about 1310.5023149883.

The spelling of 2250678060 in words is "two billion, two hundred fifty million, six hundred seventy-eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 199 228 285 342 380 398 570 597 684 796 855 995 1140 1194 1710 1791 1990 2388 2985 3307 3420 3582 3781 3980 5970 6614 7164 7562 8955 9921 11343 11940 13228 15124 16535 17910 18905 19842 22686 29763 33070 34029 35820 37810 39684 45372 49605 56715 59526 62833 66140 68058 75620 99210 113430 119052 125666 136116 148815 170145 188499 198420 226860 251332 297630 314165 340290 376998 565497 595260 628330 658093 680580 753996 942495 1130994 1256660 1316186 1884990 1974279 2261988 2632372 2827485 3290465 3769980 3948558 5654970 5922837 6580930 7897116 9871395 11309940 11845674 12503767 13161860 19742790 23691348 25007534 29614185 37511301 39485580 50015068 59228370 62518835 75022602 112533903 118456740 125037670 150045204 187556505 225067806 250075340 375113010 450135612 562669515 750226020 1125339030 2250678060