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2198228623096 = 23113747118112163
BaseRepresentation
bin11111111111010000101…
…000101101111011111000
321210011000022222021011111
4133333100220231323320
5242003433011414341
64401504032210104
7314550103666642
oct37772050557370
97704008867144
102198228623096
11778299828330
122b6046399934
1312c3a48a581c
14785755c9892
153c2aab9e681
hex1ffd0a2def8

2198228623096 has 128 divisors (see below), whose sum is σ = 4720535055360. Its totient is φ = 950620838400.

The previous prime is 2198228623091. The next prime is 2198228623103. The reversal of 2198228623096 is 6903268228912.

It is a super-3 number, since 3×21982286230963 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2198228623096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198228623091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180724711 + ... + 180736873.

It is an arithmetic number, because the mean of its divisors is an integer number (36879180120).

Almost surely, 22198228623096 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 2198228623096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360267527680).

2198228623096 is an abundant number, since it is smaller than the sum of its proper divisors (2522306432264).

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

2198228623096 is a wasteful number, since it uses less digits than its factorization.

2198228623096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13445 (or 13441 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 2198228623096 in words is "two trillion, one hundred ninety-eight billion, two hundred twenty-eight million, six hundred twenty-three thousand, ninety-six".

Divisors: 1 2 4 8 11 22 37 44 47 74 88 94 148 188 296 376 407 517 814 1034 1181 1628 1739 2068 2362 3256 3478 4136 4724 6956 9448 12163 12991 13912 19129 24326 25982 38258 43697 48652 51964 55507 76516 87394 97304 103928 111014 133793 153032 174788 222028 267586 349576 444056 450031 480667 535172 571661 610577 900062 961334 1070344 1143322 1221154 1800124 1922668 2053759 2286644 2442308 3600248 3845336 4107518 4573288 4884616 4950341 6288271 8215036 9900682 12576542 14364503 16430072 19801364 21151457 22591349 25153084 28729006 39602728 42302914 45182698 50306168 57458012 84605828 90365396 114916024 158009533 169211656 180730792 232666027 316019066 465332054 531486611 632038132 675131641 930664108 1062973222 1264076264 1350263282 1861328216 2125946444 2700526564 4251892888 5401053128 5846352721 7426448051 11692705442 14852896102 23385410884 24979870717 29705792204 46770821768 49959741434 59411584408 99919482868 199838965736 274778577887 549557155774 1099114311548 2198228623096