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22241284050 = 23522323712719
BaseRepresentation
bin10100101101101011…
…110000111111010010
32010102000220021222010
4110231223300333102
5331022232042200
614114551523350
71415105536506
oct245553607722
963360807863
1022241284050
119483696997
124388689556
132135b3240b
14110dc2c306
158a28e0150
hex52daf0fd2

22241284050 has 96 divisors (see below), whose sum is σ = 57602027520. Its totient is φ = 5668660800.

The previous prime is 22241284007. The next prime is 22241284061. The reversal of 22241284050 is 5048214222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22241283999 and 22241284017.

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, 8178591 + ... + 8181309.

It is an arithmetic number, because the mean of its divisors is an integer number (600021120).

Almost surely, 222241284050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22241284050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28801013760).

22241284050 is an abundant number, since it is smaller than the sum of its proper divisors (35360743470).

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

22241284050 is a wasteful number, since it uses less digits than its factorization.

22241284050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 22241284050 its reverse (5048214222), we get a palindrome (27289498272).

The spelling of 22241284050 in words is "twenty-two billion, two hundred forty-one million, two hundred eighty-four thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 2371 2719 3450 4742 5438 7113 8157 11855 13595 14226 16314 23710 27190 35565 40785 54533 59275 62537 67975 71130 81570 109066 118550 125074 135950 163599 177825 187611 203925 272665 312685 327198 355650 375222 407850 545330 625370 817995 938055 1363325 1563425 1635990 1876110 2726650 3126850 4089975 4690275 6446749 8179950 9380550 12893498 19340247 32233745 38680494 64467490 96701235 148275227 161168725 193402470 296550454 322337450 444825681 483506175 741376135 889651362 967012350 1482752270 2224128405 3706880675 4448256810 7413761350 11120642025 22241284050