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201402224400 = 243521312910399
BaseRepresentation
bin1011101110010010000…
…0100000111100010000
3201020212001211001202110
42323210200200330100
511244432432140100
6232304540345320
720356635442536
oct2734440407420
9636761731673
10201402224400
117846133a143
1233049245240
1315cb8999260
149a68412156
15538b608250
hex2ee4820f10

201402224400 has 120 divisors (see below), whose sum is σ = 694786086400. Its totient is φ = 49575928320.

The previous prime is 201402224393. The next prime is 201402224459. The reversal of 201402224400 is 4422204102.

It is a tau number, because it is divible by the number of its divisors (120).

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, 6439600 + ... + 6470799.

Almost surely, 2201402224400 is an apocalyptic number.

201402224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201402224400 is an abundant number, since it is smaller than the sum of its proper divisors (493383862000).

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

201402224400 is a wasteful number, since it uses less digits than its factorization.

201402224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12910433 (or 12910422 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 201402224400 its reverse (4422204102), we get a palindrome (205824428502).

The spelling of 201402224400 in words is "two hundred one billion, four hundred two million, two hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 12910399 25820798 38731197 51641596 64551995 77462394 103283192 129103990 154924788 167835187 193655985 206566384 258207980 309849576 322759975 335670374 387311970 503505561 516415960 619699152 645519950 671340748 774623940 839175935 968279925 1007011122 1032831920 1291039900 1342681496 1549247880 1678351870 1936559850 2014022244 2517527805 2582079800 2685362992 3098495760 3356703740 3873119700 4028044488 4195879675 5035055610 5164159600 6713407480 7746239400 8056088976 8391759350 10070111220 12587639025 13426814960 15492478800 16783518700 20140222440 25175278050 33567037400 40280444880 50350556100 67134074800 100701112200 201402224400