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44022242100222 = 232191931321750461
BaseRepresentation
bin10100000001001101110100…
…00110100100001111111110
312202212111002202001110210100
422000212322012210033332
521232230022434201342
6233343312215421530
712162334124556111
oct1200467206441776
9182774082043710
1044022242100222
111303280100a851
124b2b97b9848a6
131b7438341cc39
14ac298b7ba578
155151bd6c8e4c
hex2809ba1a43fe

44022242100222 has 96 divisors (see below), whose sum is σ = 100931456265120. Its totient is φ = 13828410408960.

The previous prime is 44022242100197. The next prime is 44022242100223. The reversal of 44022242100222 is 22200124222044.

44022242100222 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 224 + 210 + 0 + 222 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44022242100223) 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, 872376072 + ... + 872426532.

It is an arithmetic number, because the mean of its divisors is an integer number (1051369336095).

Almost surely, 244022242100222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44022242100222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50465728132560).

44022242100222 is an abundant number, since it is smaller than the sum of its proper divisors (56909214164898).

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

44022242100222 is a wasteful number, since it uses less digits than its factorization.

44022242100222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63898 (or 63895 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 44022242100222 its reverse (22200124222044), we get a palindrome (66222366322266).

The spelling of 44022242100222 in words is "forty-four trillion, twenty-two billion, two hundred forty-two million, one hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 342 386 579 1158 1737 3474 3667 7334 11001 13217 22002 26434 33003 39651 50461 66006 79302 100922 118953 151383 237906 251123 302766 454149 502246 753369 908298 958759 1506738 1917518 2260107 2550881 2876277 4520214 5101762 5752554 7652643 8628831 9738973 15305286 17257662 19477946 22957929 29216919 45915858 48466739 58433838 87650757 96933478 145400217 175301514 185040487 290800434 370080974 436200651 555121461 666943037 872401302 1110242922 1333886074 1665364383 2000829111 3330728766 4001658222 6002487333 12004974666 12671917703 25343835406 38015753109 76031506218 114047259327 128720006141 228094518654 257440012282 386160018423 772320036846 1158480055269 2316960110538 2445680116679 4891360233358 7337040350037 14674080700074 22011121050111 44022242100222