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2340010233200 = 245226932596673
BaseRepresentation
bin100010000011010011011…
…110101000110101110000
322021200222100002022112002
4202003103132220311300
5301314320104430300
64550552540153132
7331026430541543
oct42032336506560
98250870068462
102340010233200
11822435855512
123196148387a8
1313c87b5b9283
14813856a485a
1540d07ee55d5
hex220d37a8d70

2340010233200 has 120 divisors (see below), whose sum is σ = 5645351062800. Its totient is φ = 932098682880.

The previous prime is 2340010233199. The next prime is 2340010233227. The reversal of 2340010233200 is 23320100432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 350665064 + ... + 350671736.

It is an arithmetic number, because the mean of its divisors is an integer number (47044592190).

Almost surely, 22340010233200 is an apocalyptic number.

2340010233200 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 2340010233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822675531400).

2340010233200 is an abundant number, since it is smaller than the sum of its proper divisors (3305340829600).

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

2340010233200 is a wasteful number, since it uses less digits than its factorization.

2340010233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10219 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2340010233200 its reverse (23320100432), we get a palindrome (2363330333632).

The spelling of 2340010233200 in words is "two trillion, three hundred forty billion, ten million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 269 400 538 1076 1345 2152 2690 3259 4304 5380 6518 6673 6725 10760 13036 13346 13450 16295 21520 26072 26692 26900 32590 33365 52144 53384 53800 65180 66730 81475 106768 107600 130360 133460 162950 166825 260720 266920 325900 333650 533840 651800 667300 876671 1303600 1334600 1753342 1795037 2669200 3506684 3590074 4383355 7013368 7180148 8766710 8975185 14026736 14360296 17533420 17950370 21747307 21916775 28720592 35066840 35900740 43494614 43833550 44875925 70133680 71801480 86989228 87667100 89751850 108736535 143602960 173978456 175334200 179503700 217473070 347956912 350668400 359007400 434946140 543682675 718014800 869892280 1087365350 1739784560 2174730700 4349461400 5850025583 8698922800 11700051166 23400102332 29250127915 46800204664 58500255830 93600409328 117000511660 146250639575 234001023320 292501279150 468002046640 585002558300 1170005116600 2340010233200