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2014223200 = 255211435323
BaseRepresentation
bin111100000001110…
…1001101101100000
312012101010010210021
41320003221231200
513111120120300
6531511443224
7100625420563
oct17003515540
95171103707
102014223200
11943a81780
12482686514
132613b7262
1415171c4da
15bbc71d1a
hex780e9b60

2014223200 has 144 divisors (see below), whose sum is σ = 5490023616. Its totient is φ = 715276800.

The previous prime is 2014223191. The next prime is 2014223201. The reversal of 2014223200 is 23224102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014223201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375739 + ... + 381061.

It is an arithmetic number, because the mean of its divisors is an integer number (38125164).

Almost surely, 22014223200 is an apocalyptic number.

2014223200 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 2014223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745011808).

2014223200 is an abundant number, since it is smaller than the sum of its proper divisors (3475800416).

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

2014223200 is a wasteful number, since it uses less digits than its factorization.

2014223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2014223200 is about 44880.0980391086. The cubic root of 2014223200 is about 1262.9006825455.

Adding to 2014223200 its reverse (23224102), we get a palindrome (2037447302).

The spelling of 2014223200 in words is "two billion, fourteen million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 80 86 88 100 110 160 172 176 200 215 220 275 344 352 400 430 440 473 550 688 800 860 880 946 1075 1100 1376 1720 1760 1892 2150 2200 2365 3440 3784 4300 4400 4730 5323 6880 7568 8600 8800 9460 10646 11825 15136 17200 18920 21292 23650 26615 34400 37840 42584 47300 53230 58553 75680 85168 94600 106460 117106 133075 170336 189200 212920 228889 234212 266150 292765 378400 425840 457778 468424 532300 585530 851680 915556 936848 1064600 1144445 1171060 1463825 1831112 1873696 2129200 2288890 2342120 2517779 2927650 3662224 4258400 4577780 4684240 5035558 5722225 5855300 7324448 9155560 9368480 10071116 11444450 11710600 12588895 18311120 20142232 22888900 23421200 25177790 36622240 40284464 45777800 46842400 50355580 62944475 80568928 91555600 100711160 125888950 183111200 201422320 251777900 402844640 503555800 1007111600 2014223200