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2234243000 = 235311238831
BaseRepresentation
bin1000010100101011…
…1101011110111000
312202201010022012202
42011022331132320
514033431234000
61005411325332
7106236515663
oct20512753670
95681108182
102234243000
11a47198920
125242b0848
13297b609a2
14172a326da
15d1232dd5
hex852bd7b8

2234243000 has 128 divisors (see below), whose sum is σ = 5952061440. Its totient is φ = 777040000.

The previous prime is 2234242993. The next prime is 2234243009. The reversal of 2234243000 is 3424322.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234243009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248585 + ... + 257415.

It is an arithmetic number, because the mean of its divisors is an integer number (46500480).

Almost surely, 22234243000 is an apocalyptic number.

2234243000 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 2234243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976030720).

2234243000 is an abundant number, since it is smaller than the sum of its proper divisors (3717818440).

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

2234243000 is a wasteful number, since it uses less digits than its factorization.

2234243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8886 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2234243000 is about 47267.7797236130. The cubic root of 2234243000 is about 1307.3046380799.

Adding to 2234243000 its reverse (3424322), we get a palindrome (2237667322).

The spelling of 2234243000 in words is "two billion, two hundred thirty-four million, two hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 440 460 500 506 550 575 920 1000 1012 1100 1150 1265 1375 2024 2200 2300 2530 2750 2875 4600 5060 5500 5750 6325 8831 10120 11000 11500 12650 17662 23000 25300 31625 35324 44155 50600 63250 70648 88310 97141 126500 176620 194282 203113 220775 253000 353240 388564 406226 441550 485705 777128 812452 883100 971410 1015565 1103875 1624904 1766200 1942820 2031130 2207750 2234243 2428525 3885640 4062260 4415500 4468486 4857050 5077825 8124520 8831000 8936972 9714100 10155650 11171215 12142625 17873944 19428200 20311300 22342430 24285250 25389125 40622600 44684860 48570500 50778250 55856075 89369720 97141000 101556500 111712150 203113000 223424300 279280375 446848600 558560750 1117121500 2234243000