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2212225331344 = 247191709608297
BaseRepresentation
bin100000001100010010111…
…001111011000010010000
321211111010210020201022021
4200030102321323002100
5242221114141100334
64412140550221224
7315554002025350
oct40142271730220
97744123221267
102212225331344
11783221588406
122b88b1954814
131307c5601302
1479102486b60
153c8298823b4
hex20312e7b090

2212225331344 has 80 divisors (see below), whose sum is σ = 5159340316800. Its totient is φ = 897669706752.

The previous prime is 2212225331317. The next prime is 2212225331383. The reversal of 2212225331344 is 4431335222122.

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, 3332604 + ... + 3940900.

It is an arithmetic number, because the mean of its divisors is an integer number (64491753960).

Almost surely, 22212225331344 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 2212225331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579670158400).

2212225331344 is an abundant number, since it is smaller than the sum of its proper divisors (2947114985456).

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

2212225331344 is a wasteful number, since it uses less digits than its factorization.

2212225331344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610040 (or 610034 counting only the distinct ones).

The product of its digits is 69120, while the sum is 34.

The spelling of 2212225331344 in words is "two trillion, two hundred twelve billion, two hundred twenty-five million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 1709 2128 3418 6836 11963 13672 23926 27344 32471 47852 64942 95704 129884 191408 227297 259768 454594 519536 608297 909188 1216594 1818376 2433188 3636752 4258079 4866376 8516158 9732752 11557643 17032316 23115286 34064632 46230572 68129264 80903501 92461144 161807002 184922288 323614004 647228008 1039579573 1294456016 2079159146 4158318292 7277057011 8316636584 14554114022 16633273168 19752011887 29108228044 39504023774 58216456088 79008047548 116432912176 138264083209 158016095096 276528166418 316032190192 553056332836 1106112665672 2212225331344