Search a number
-
+
2122255813344 = 25350388749549
BaseRepresentation
bin11110111000100000010…
…011011100101011100000
321111212220122201122121220
4132320200103130223200
5234232334442011334
64302541215215040
7306220322525532
oct36704023345340
97455818648556
102122255813344
11749053096957
122a3383217480
13125187bc2524
1474a09641852
153a311027449
hex1ee204dcae0

2122255813344 has 96 divisors (see below), whose sum is σ = 5588402803200. Its totient is φ = 705202017792.

The previous prime is 2122255813343. The next prime is 2122255813439. The reversal of 2122255813344 is 4433185522212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2122255813296 and 2122255813305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122255813343) 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, 42806682 + ... + 42856230.

It is an arithmetic number, because the mean of its divisors is an integer number (58212529200).

Almost surely, 22122255813344 is an apocalyptic number.

2122255813344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122255813344 is an abundant number, since it is smaller than the sum of its proper divisors (3466146989856).

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

2122255813344 is a wasteful number, since it uses less digits than its factorization.

2122255813344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50952 (or 50944 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The spelling of 2122255813344 in words is "two trillion, one hundred twenty-two billion, two hundred fifty-five million, eight hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 503 887 1006 1509 1774 2012 2661 3018 3548 4024 5322 6036 7096 8048 10644 12072 14192 16096 21288 24144 28384 42576 48288 49549 85152 99098 148647 198196 297294 396392 446161 594588 792784 892322 1189176 1338483 1585568 1784644 2378352 2676966 3569288 4756704 5353932 7138576 10707864 14277152 21415728 24923147 42831456 43949963 49846294 74769441 87899926 99692588 131849889 149538882 175799852 199385176 263699778 299077764 351599704 398770352 527399556 598155528 703199408 797540704 1054799112 1196311056 1406398816 2109598224 2392622112 4219196448 22106831389 44213662778 66320494167 88427325556 132640988334 176854651112 265281976668 353709302224 530563953336 707418604448 1061127906672 2122255813344