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2250684688 = 24723899817
BaseRepresentation
bin1000011000100110…
…1011100100010000
312210212001121222011
42012021223210100
514102133402223
61011155552304
7106526334640
oct20611534420
95725047864
102250684688
11a554a879a
125298bb694
1329b3995b5
14174cb2520
15d28ce80d
hex8626b910

2250684688 has 80 divisors (see below), whose sum is σ = 5259306240. Its totient is φ = 912181248.

The previous prime is 2250684679. The next prime is 2250684701. The reversal of 2250684688 is 8864860522.

It is a happy 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, 224356 + ... + 234172.

It is an arithmetic number, because the mean of its divisors is an integer number (65741328).

Almost surely, 22250684688 is an apocalyptic number.

2250684688 is a gapful number since it is divisible by the number (28) 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 2250684688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629653120).

2250684688 is an abundant number, since it is smaller than the sum of its proper divisors (3008621552).

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

2250684688 is a wasteful number, since it uses less digits than its factorization.

2250684688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9944 (or 9938 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 2250684688 is about 47441.3815987688. The cubic root of 2250684688 is about 1310.5036014156.

The spelling of 2250684688 in words is "two billion, two hundred fifty million, six hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 89 92 112 161 178 184 322 356 368 623 644 712 1246 1288 1424 2047 2492 2576 4094 4984 8188 9817 9968 14329 16376 19634 28658 32752 39268 57316 68719 78536 114632 137438 157072 225791 229264 274876 451582 549752 873713 903164 1099504 1580537 1747426 1806328 3161074 3494852 3612656 6115991 6322148 6989704 12231982 12644296 13979408 20095399 24463964 25288592 40190798 48927928 80381596 97855856 140667793 160763192 281335586 321526384 562671172 1125342344 2250684688