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442020400220 = 22573709785109
BaseRepresentation
bin1100110111010100111…
…10000000110001011100
31120020221011100212120002
412123222132000301130
524220224210301340
6535021131113432
743635451260320
oct6335236006134
91506834325502
10442020400220
11160506aa0a93
12717bb8a2878
13328b415b599
1417572c19980
15b770972715
hex66ea780c5c

442020400220 has 48 divisors (see below), whose sum is σ = 1060890022080. Its totient is φ = 151543985664.

The previous prime is 442020400207. The next prime is 442020400303. The reversal of 442020400220 is 22004020244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 442020400192 and 442020400201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5151026 + ... + 5236134.

It is an arithmetic number, because the mean of its divisors is an integer number (22101875460).

Almost surely, 2442020400220 is an apocalyptic number.

It is an amenable number.

442020400220 is an abundant number, since it is smaller than the sum of its proper divisors (618869621860).

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

442020400220 is a wasteful number, since it uses less digits than its factorization.

442020400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122222 (or 122220 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 442020400220 its reverse (22004020244), we get a palindrome (464024420464).

The spelling of 442020400220 in words is "four hundred forty-two billion, twenty million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 37097 74194 85109 148388 170218 185485 259679 340436 370970 425545 519358 595763 741940 851090 1038716 1191526 1298395 1702180 2383052 2596790 2978815 5193580 5957630 11915260 3157288573 6314577146 12629154292 15786442865 22101020011 31572885730 44202040022 63145771460 88404080044 110505100055 221010200110 442020400220