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422422424400 = 24352834241189
BaseRepresentation
bin1100010010110100101…
…01101010101101010000
31111101100100022112210210
412021122111222231100
523410110120040100
6522020322324120
742343010235504
oct6113225525520
91441310275723
10422422424400
1115316a49a759
1269a504b9640
1330aacb536a2
14166340a4304
15aec5169c50
hex625a56ab50

422422424400 has 120 divisors (see below), whose sum is σ = 1369463286240. Its totient is φ = 111288773120.

The previous prime is 422422424353. The next prime is 422422424423. The reversal of 422422424400 is 4424224224.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2020995 + ... + 2220194.

It is an arithmetic number, because the mean of its divisors is an integer number (11412194052).

Almost surely, 2422422424400 is an apocalyptic number.

422422424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422422424400 is an abundant number, since it is smaller than the sum of its proper divisors (947040861840).

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

422422424400 is a wasteful number, since it uses less digits than its factorization.

422422424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241293 (or 4241282 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 422422424400 its reverse (4424224224), we get a palindrome (426846648624).

It can be divided in two parts, 42242 and 2424400, that added together give a palindrome (2466642).

The spelling of 422422424400 in words is "four hundred twenty-two billion, four hundred twenty-two million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 120 150 166 200 240 249 300 332 400 415 498 600 664 830 996 1200 1245 1328 1660 1992 2075 2490 3320 3984 4150 4980 6225 6640 8300 9960 12450 16600 19920 24900 33200 49800 99600 4241189 8482378 12723567 16964756 21205945 25447134 33929512 42411890 50894268 63617835 67859024 84823780 101788536 106029725 127235670 169647560 203577072 212059450 254471340 318089175 339295120 352018687 424118900 508942680 636178350 704037374 848237800 1017885360 1056056061 1272356700 1408074748 1696475600 1760093435 2112112122 2544713400 2816149496 3520186870 4224224244 5089426800 5280280305 5632298992 7040373740 8448448488 8800467175 10560560610 14080747480 16896896976 17600934350 21121121220 26401401525 28161494960 35201868700 42242242440 52802803050 70403737400 84484484880 105605606100 140807474800 211211212200 422422424400