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2249226623040 = 263510322747033
BaseRepresentation
bin100000101110110000010…
…110101001100001000000
321222000122110201002100020
4200232300112221201000
5243322404003414130
64441140324253440
7321333634563345
oct40566026514100
97860573632306
102249226623040
11797989878521
12303ab9541280
13134141332257
147ac126a67cc
153d792e7ce10
hex20bb05a9840

2249226623040 has 112 divisors (see below), whose sum is σ = 7210627801728. Its totient is φ = 593970499584.

The previous prime is 2249226623023. The next prime is 2249226623041. The reversal of 2249226623040 is 403266229422.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2249226622983 and 2249226623001.

It is not an unprimeable number, because it can be changed into a prime (2249226623041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11274637 + ... + 11472396.

Almost surely, 22249226623040 is an apocalyptic number.

2249226623040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2249226623040 is an abundant number, since it is smaller than the sum of its proper divisors (4961401178688).

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

2249226623040 is a wasteful number, since it uses less digits than its factorization.

2249226623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22747156 (or 22747146 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 2249226623040 in words is "two trillion, two hundred forty-nine billion, two hundred twenty-six million, six hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 103 120 160 192 206 240 309 320 412 480 515 618 824 960 1030 1236 1545 1648 2060 2472 3090 3296 4120 4944 6180 6592 8240 9888 12360 16480 19776 24720 32960 49440 98880 22747033 45494066 68241099 90988132 113735165 136482198 181976264 227470330 272964396 341205495 363952528 454940660 545928792 682410990 727905056 909881320 1091857584 1364821980 1455810112 1819762640 2183715168 2342944399 2729643960 3639525280 4367430336 4685888798 5459287920 7028833197 7279050560 9371777596 10918575840 11714721995 14057666394 18743555192 21837151680 23429443990 28115332788 35144165985 37487110384 46858887980 56230665576 70288331970 74974220768 93717775960 112461331152 140576663940 149948441536 187435551920 224922662304 281153327880 374871103840 449845324608 562306655760 749742207680 1124613311520 2249226623040