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422425110400 = 2752601219647
BaseRepresentation
bin1100010010110100111…
…11111010011110000000
31111101100112101000022021
412021122133322132000
523410111312013100
6522020500051224
742343042123426
oct6113237723600
91441315330267
10422425110400
11153170a64797
1269a51393b14
1330ab0584137
14166345a3116
15aec54eaa1a
hex625a7fa780

422425110400 has 96 divisors (see below), whose sum is σ = 1045263098880. Its totient is φ = 168688128000.

The previous prime is 422425110389. The next prime is 422425110407. The reversal of 422425110400 is 4011524224.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422425110407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1813377 + ... + 2033023.

It is an arithmetic number, because the mean of its divisors is an integer number (10888157280).

Almost surely, 2422425110400 is an apocalyptic number.

422425110400 is a gapful number since it is divisible by the number (40) 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 422425110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522631549440).

422425110400 is an abundant number, since it is smaller than the sum of its proper divisors (622837988480).

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

422425110400 is a wasteful number, since it uses less digits than its factorization.

422425110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220272 (or 220255 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 422425110400 its reverse (4011524224), we get a palindrome (426436634624).

The spelling of 422425110400 in words is "four hundred twenty-two billion, four hundred twenty-five million, one hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 601 640 800 1202 1600 2404 3005 3200 4808 6010 9616 12020 15025 19232 24040 30050 38464 48080 60100 76928 96160 120200 192320 219647 240400 384640 439294 480800 878588 961600 1098235 1757176 1923200 2196470 3514352 4392940 5491175 7028704 8785880 10982350 14057408 17571760 21964700 28114816 35143520 43929400 70287040 87858800 132007847 140574080 175717600 264015694 351435200 528031388 660039235 702870400 1056062776 1320078470 2112125552 2640156940 3300196175 4224251104 5280313880 6600392350 8448502208 10560627760 13200784700 16897004416 21121255520 26401569400 42242511040 52803138800 84485022080 105606277600 211212555200 422425110400