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422324322100 = 225219257864887
BaseRepresentation
bin1100010010101000111…
…11011011111100110100
31111101002111201102202021
412021110133123330310
523404410011301400
6522002455522524
742340406336122
oct6112437337464
91441074642667
10422324322100
1115311a084a7a
1269a23689444
1330a957258a5
1416625048912
15aebb73c71a
hex62547dbf34

422324322100 has 72 divisors (see below), whose sum is σ = 968432391360. Its totient is φ = 159415787520.

The previous prime is 422324322083. The next prime is 422324322103. The reversal of 422324322100 is 1223423224.

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 (422324322103) 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, 55857 + ... + 920743.

It is an arithmetic number, because the mean of its divisors is an integer number (13450449880).

Almost surely, 2422324322100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422324322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484216195680).

422324322100 is an abundant number, since it is smaller than the sum of its proper divisors (546108069260).

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

422324322100 is a wasteful number, since it uses less digits than its factorization.

422324322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865177 (or 865170 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 422324322100 its reverse (1223423224), we get a palindrome (423547745324).

The spelling of 422324322100 in words is "four hundred twenty-two billion, three hundred twenty-four million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 257 380 475 514 950 1028 1285 1900 2570 4883 5140 6425 9766 12850 19532 24415 25700 48830 97660 122075 244150 488300 864887 1729774 3459548 4324435 8648870 16432853 17297740 21622175 32865706 43244350 65731412 82164265 86488700 164328530 222275959 328657060 410821325 444551918 821642650 889103836 1111379795 1643285300 2222759590 4223243221 4445519180 5556898975 8446486442 11113797950 16892972884 21116216105 22227595900 42232432210 84464864420 105581080525 211162161050 422324322100