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22049000000028 = 223219149619349507
BaseRepresentation
bin1010000001101101011101…
…10100000000101000011100
32220001212022201110021011200
411000312232310000220130
510342222323000000103
6114521100515115500
74433662526451621
oct500665664005034
986055281407150
1022049000000028
117030a23758111
1225812b15a2b90
13c3c29a37a961
1456326a6d0348
15283829a270a3
hex140daed00a1c

22049000000028 has 144 divisors (see below), whose sum is σ = 59157724080000. Its totient is φ = 6904918825344.

The previous prime is 22049000000021. The next prime is 22049000000029. The reversal of 22049000000028 is 82000000094022.

22049000000028 is a nontrivial binomial coefficient, being equal to C(6640633, 2).

It is a junction number, because it is equal to n+sod(n) for n = 22048999999938 and 22049000000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22049000000021) 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, 62911251 + ... + 63260757.

Almost surely, 222049000000028 is an apocalyptic number.

22049000000028 is the 6640632-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22049000000028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29578862040000).

22049000000028 is an abundant number, since it is smaller than the sum of its proper divisors (37108724079972).

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

22049000000028 is a wasteful number, since it uses less digits than its factorization.

22049000000028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350304 (or 350299 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22049000000028 in words is "twenty-two trillion, forty-nine billion, twenty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 149 171 228 298 342 447 596 619 684 894 1238 1341 1788 1857 2476 2682 2831 3714 5364 5571 5662 7428 8493 11142 11324 11761 16986 22284 23522 25479 33972 35283 47044 50958 70566 92231 101916 105849 141132 184462 211698 276693 349507 368924 423396 553386 699014 830079 1048521 1106772 1398028 1660158 1752389 2097042 3145563 3320316 3504778 4194084 5257167 6291126 6640633 7009556 10514334 12582252 13281266 15771501 19921899 21028668 26562532 31543002 39843798 52076543 59765697 63086004 79687596 104153086 119531394 156229629 208306172 216344833 239062788 312459258 432689666 468688887 624918516 649034499 865379332 937377774 989454317 1298068998 1874755548 1947103497 1978908634 2596137996 2968362951 3894206994 3957817268 4110551827 5936725902 7788413988 8221103654 8905088853 11873451804 12331655481 16442207308 17810177706 24663310962 32235380117 35620355412 36994966443 49326621924 64470760234 73989932886 96706140351 128941520468 147979865772 193412280702 290118421053 386824561404 580236842106 612472222223 1160473684212 1224944444446 1837416666669 2449888888892 3674833333338 5512250000007 7349666666676 11024500000014 22049000000028