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2244880606880 = 25597655322073
BaseRepresentation
bin100000101010101101010…
…011111010011010100000
321221121102120220120221202
4200222231103322122200
5243240003413410010
64435141154140332
7321121143214322
oct40525523723240
97847376816852
102244880606880
1179605964022a
123030a5b816a8
131338cab20a62
147a91d401612
153d5db6596a5
hex20aad4fa6a0

2244880606880 has 96 divisors (see below), whose sum is σ = 5359266463824. Its totient is φ = 888519131136.

The previous prime is 2244880606831. The next prime is 2244880606889. The reversal of 2244880606880 is 886060884422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1403646779536 + 841233827344 = 1184756^2 + 917188^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2244880606889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101691524 + ... + 101713596.

Almost surely, 22244880606880 is an apocalyptic number.

2244880606880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244880606880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679633231912).

2244880606880 is an abundant number, since it is smaller than the sum of its proper divisors (3114385856944).

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

2244880606880 is a wasteful number, since it uses less digits than its factorization.

2244880606880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28738 (or 28730 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 2244880606880 in words is "two trillion, two hundred forty-four billion, eight hundred eighty million, six hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 6553 7760 13106 15520 22073 26212 32765 44146 52424 65530 88292 104848 110365 131060 176584 209696 220730 262120 353168 441460 524240 635641 706336 882920 1048480 1271282 1765840 2141081 2542564 3178205 3531680 4282162 5085128 6356410 8564324 10170256 10705405 12712820 17128648 20340512 21410810 25425640 34257296 42821620 50851280 68514592 85643240 101702560 144644369 171286480 289288738 342572960 578577476 723221845 1157154952 1446443690 2314309904 2892887380 4628619808 5785774760 11571549520 14030503793 23143099040 28061007586 56122015172 70152518965 112244030344 140305037930 224488060688 280610075860 448976121376 561220151720 1122440303440 2244880606880