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2212344304400 = 245223631381097
BaseRepresentation
bin100000001100011001111…
…111110001001100010000
321211111110002010011122202
4200030121333301030100
5242221340120220100
64412200440222332
7315556645211516
oct40143177611420
97744402104582
102212344304400
1178328275864a
122b892576a9a8
13130814158979
14791141b64b6
153c8350337d5
hex20319ff1310

2212344304400 has 120 divisors (see below), whose sum is σ = 5555055179904. Its totient is φ = 845118489600.

The previous prime is 2212344304381. The next prime is 2212344304427. The reversal of 2212344304400 is 44034432122.

It is a super-2 number, since 2×22123443044002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614652 + ... + 5995748.

Almost surely, 22212344304400 is an apocalyptic number.

2212344304400 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 2212344304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777527589952).

2212344304400 is an abundant number, since it is smaller than the sum of its proper divisors (3342710875504).

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

2212344304400 is a wasteful number, since it uses less digits than its factorization.

2212344304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381769 (or 381758 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 2212344304400 its reverse (44034432122), we get a palindrome (2256378736522).

The spelling of 2212344304400 in words is "two trillion, two hundred twelve billion, three hundred forty-four million, three hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 631 920 1150 1262 1840 2300 2524 3155 4600 5048 6310 9200 10096 12620 14513 15775 25240 29026 31550 50480 58052 63100 72565 116104 126200 145130 232208 252400 290260 362825 381097 580520 725650 762194 1161040 1451300 1524388 1905485 2902600 3048776 3810970 5805200 6097552 7621940 8765231 9527425 15243880 17530462 19054850 30487760 35060924 38109700 43826155 70121848 76219400 87652310 140243696 152438800 175304620 219130775 240472207 350609240 438261550 480944414 701218480 876523100 961888828 1202361035 1753046200 1923777656 2404722070 3506092400 3847555312 4809444140 5530860761 6011805175 9618888280 11061721522 12023610350 19237776560 22123443044 24047220700 27654303805 44246886088 48094441400 55308607610 88493772176 96188882800 110617215220 138271519025 221234430440 276543038050 442468860880 553086076100 1106172152200 2212344304400