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2250695088 = 243267263887
BaseRepresentation
bin1000011000100110…
…1110000110110000
312210212002011020100
42012021232012300
514102134220323
61011200112400
7106526410155
oct20611560660
95725064210
102250695088
11a55505594
12529905700
1329b3a1255
14174cb622c
15d28d2943
hex8626e1b0

2250695088 has 120 divisors (see below), whose sum is σ = 6424374528. Its totient is φ = 735394176.

The previous prime is 2250695033. The next prime is 2250695113. The reversal of 2250695088 is 8805960522.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2536981 + ... + 2537867.

Almost surely, 22250695088 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 2250695088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212187264).

2250695088 is an abundant number, since it is smaller than the sum of its proper divisors (4173679440).

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

2250695088 is a wasteful number, since it uses less digits than its factorization.

2250695088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2250695088 is about 47441.4912075917. The cubic root of 2250695088 is about 1310.5056199445.

The spelling of 2250695088 in words is "two billion, two hundred fifty million, six hundred ninety-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 263 268 402 526 536 603 789 804 887 1052 1072 1206 1578 1608 1774 2104 2367 2412 2661 3156 3216 3548 4208 4734 4824 5322 6312 7096 7983 9468 9648 10644 12624 14192 15966 17621 18936 21288 31932 35242 37872 42576 52863 59429 63864 70484 105726 118858 127728 140968 158589 178287 211452 233281 237716 281936 317178 356574 422904 466562 475432 534861 634356 699843 713148 845808 933124 950864 1069722 1268712 1399686 1426296 1866248 2099529 2139444 2537424 2799372 2852592 3732496 4199058 4278888 5598744 8398116 8557776 11197488 15629827 16796232 31259654 33592464 46889481 62519308 93778962 125038616 140668443 187557924 250077232 281336886 375115848 562673772 750231696 1125347544 2250695088