Search a number
-
+
22251665250 = 2335329311251
BaseRepresentation
bin10100101110010011…
…010111011101100010
32010102202102201022000
4110232103113131202
5331032411242000
614120002224430
71415263014423
oct245623273542
963382381260
1022251665250
1194895374a1
124390055116
132138028639
14111137164a
158a3791000
hex52e4d7762

22251665250 has 128 divisors (see below), whose sum is σ = 61927407360. Its totient is φ = 5913000000.

The previous prime is 22251665231. The next prime is 22251665281. The reversal of 22251665250 is 5256615222.

22251665250 is a `hidden beast` number, since 2 + 22 + 51 + 66 + 525 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1972125 + ... + 1983375.

It is an arithmetic number, because the mean of its divisors is an integer number (483807870).

Almost surely, 222251665250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22251665250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30963703680).

22251665250 is an abundant number, since it is smaller than the sum of its proper divisors (39675742110).

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

22251665250 is a wasteful number, since it uses less digits than its factorization.

22251665250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11570 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 22251665250 in words is "twenty-two billion, two hundred fifty-one million, six hundred sixty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 293 375 450 586 675 750 879 1125 1350 1465 1758 2250 2637 2930 3375 4395 5274 6750 7325 7911 8790 11251 13185 14650 15822 21975 22502 26370 33753 36625 39555 43950 56255 65925 67506 73250 79110 101259 109875 112510 131850 168765 197775 202518 219750 281275 303777 329625 337530 395550 506295 562550 607554 659250 843825 988875 1012590 1406375 1518885 1687650 1977750 2531475 2812750 3037770 3296543 4219125 5062950 6593086 7594425 8438250 9889629 12657375 15188850 16482715 19779258 25314750 29668887 32965430 37972125 49448145 59337774 75944250 82413575 89006661 98896290 148344435 164827150 178013322 247240725 296688870 412067875 445033305 494481450 741722175 824135750 890066610 1236203625 1483444350 2225166525 2472407250 3708610875 4450333050 7417221750 11125832625 22251665250