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10152225222244 = 22719311198730881
BaseRepresentation
bin1001001110111011111111…
…0001110010111001100100
31022221112200000211202202121
42103232333301302321210
52312313224124102434
633331511243515324
72065321414364050
oct223567761627144
938845600752677
1010152225222244
113264597519616
12117b69b828b44
1358847372a721
14271528244c60
151291390727b4
hex93bbfc72e64

10152225222244 has 96 divisors (see below), whose sum is σ = 21453315287040. Its totient is φ = 4106501452800.

The previous prime is 10152225222241. The next prime is 10152225222259. The reversal of 10152225222244 is 44222252225101.

It is not an unprimeable number, because it can be changed into a prime (10152225222241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328737684 + ... + 328768564.

It is an arithmetic number, because the mean of its divisors is an integer number (223472034240).

Almost surely, 210152225222244 is an apocalyptic number.

10152225222244 is a gapful number since it is divisible by the number (14) 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 10152225222244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10726657643520).

10152225222244 is an abundant number, since it is smaller than the sum of its proper divisors (11301090064796).

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

10152225222244 is a wasteful number, since it uses less digits than its factorization.

10152225222244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33209 (or 33207 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

Adding to 10152225222244 its reverse (44222252225101), we get a palindrome (54374477447345).

The spelling of 10152225222244 in words is "ten trillion, one hundred fifty-two billion, two hundred twenty-five million, two hundred twenty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 311 532 622 1244 1987 2177 3974 4354 5909 7948 8708 11818 13909 23636 27818 30881 37753 41363 55636 61762 75506 82726 123524 151012 165452 216167 264271 432334 528542 586739 617957 864668 1057084 1173478 1235914 2346956 2471828 4107173 4325699 8214346 8651398 9603991 11741183 16428692 17302796 19207982 23482366 38415964 46964732 61360547 67227937 82188281 122721094 134455874 164376562 182475829 245442188 268911748 328753124 364951658 429523829 729903316 859047658 1165850393 1277330803 1718095316 2331700786 2554661606 4663401572 5109323212 8160952751 16321905502 19083130117 32643811004 38166260234 76332520468 133581910819 267163821638 362579472223 534327643276 725158944446 1450317888892 2538056305561 5076112611122 10152225222244