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2205035014112 = 257131257929137
BaseRepresentation
bin100000000101100110010…
…101000010011111100000
321210210120200101202100122
4200011212111002133200
5242111402430422422
64404551252535412
7315210552240350
oct40054625023740
97723520352318
102205035014112
11780171864677
122b7425921568
1312cc1aa51428
1478a1d548b60
153c5584c2d42
hex201665427e0

2205035014112 has 96 divisors (see below), whose sum is σ = 5001311589120. Its totient is φ = 937405347840.

The previous prime is 2205035014103. The next prime is 2205035014123. The reversal of 2205035014112 is 2114105305022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75663608 + ... + 75692744.

It is an arithmetic number, because the mean of its divisors is an integer number (52096995720).

Almost surely, 22205035014112 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 2205035014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500655794560).

2205035014112 is an abundant number, since it is smaller than the sum of its proper divisors (2796276575008).

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

2205035014112 is a wasteful number, since it uses less digits than its factorization.

2205035014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31864 (or 31856 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 2205035014112 in words is "two trillion, two hundred five billion, thirty-five million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1834 2096 2579 3668 4192 5158 7336 10316 14672 18053 20632 29137 29344 36106 41264 58274 72212 82528 116548 144424 203959 233096 288848 337849 407918 466192 577696 675698 815836 932384 1351396 1631672 2364943 2702792 3263344 3816947 4729886 5405584 6526688 7633894 9459772 10811168 15267788 18919544 26718629 30535576 37839088 53437258 61071152 75144323 75678176 106874516 122142304 150288646 213749032 300577292 427498064 526010261 601154584 854996128 1052020522 1202309168 2104041044 2404618336 4208082088 8416164176 9843906313 16832328352 19687812626 39375625252 68907344191 78751250504 137814688382 157502501008 275629376764 315005002016 551258753528 1102517507056 2205035014112