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22201602444 = 2233731230559
BaseRepresentation
bin10100101011010100…
…011001000110001100
32010022021020021001000
4110223110121012030
5330432102234234
614111013220300
71414114335630
oct245324310614
963267207030
1022201602444
11946325357a
124377331690
13212a84a788
14110885cdc0
1589e1a2899
hex52b51918c

22201602444 has 144 divisors (see below), whose sum is σ = 67975219200. Its totient is φ = 6138491040.

The previous prime is 22201602443. The next prime is 22201602461. The reversal of 22201602444 is 44420610222.

It is a super-2 number, since 2×222016024442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22201602443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711237 + ... + 741795.

Almost surely, 222201602444 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 22201602444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33987609600).

22201602444 is an abundant number, since it is smaller than the sum of its proper divisors (45773616756).

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

22201602444 is a wasteful number, since it uses less digits than its factorization.

22201602444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30641 (or 30602 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 22201602444 in words is "twenty-two billion, two hundred one million, six hundred two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 961 1116 1302 1674 1922 1953 2604 2883 3348 3844 3906 5766 5859 6727 7812 8649 11532 11718 13454 17298 20181 23436 25947 26908 30559 34596 40362 51894 60543 61118 80724 91677 103788 121086 122236 181629 183354 213913 242172 275031 363258 366708 427826 550062 641739 726516 825093 855652 947329 1100124 1283478 1650186 1894658 1925217 2566956 2841987 3300372 3789316 3850434 5683974 5775651 6631303 7700868 8525961 11367948 11551302 13262606 17051922 19893909 23102604 25577883 26525212 29367199 34103844 39787818 51155766 58734398 59681727 79575636 88101597 102311532 117468796 119363454 176203194 179045181 205570393 238726908 264304791 352406388 358090362 411140786 528609582 616711179 716180724 792914373 822281572 1057219164 1233422358 1585828746 1850133537 2466844716 3171657492 3700267074 5550400611 7400534148 11100801222 22201602444