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202044020444 = 227223283158371
BaseRepresentation
bin1011110000101011000…
…0110001011011011100
3201022111210110200102022
42330022300301123130
511302241232123234
6232452344315312
720411560560200
oct2741260613334
9638453420368
10202044020444
1178760644aa2
12331a8172b38
131608b93a026
149ac9758b00
1553c7b2ee2e
hex2f0ac316dc

202044020444 has 72 divisors (see below), whose sum is σ = 430705957248. Its totient is φ = 82532308320.

The previous prime is 202044020429. The next prime is 202044020449. The reversal of 202044020444 is 444020440202.

202044020444 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202044020449) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1196579 + ... + 1354949.

It is an arithmetic number, because the mean of its divisors is an integer number (5982027184).

Almost surely, 2202044020444 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 202044020444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215352978624).

202044020444 is an abundant number, since it is smaller than the sum of its proper divisors (228661936804).

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

202044020444 is a wasteful number, since it uses less digits than its factorization.

202044020444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158695 (or 158686 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 202044020444 its reverse (444020440202), we get a palindrome (646064460646).

The spelling of 202044020444 in words is "two hundred two billion, forty-four million, twenty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 283 322 566 644 1127 1132 1981 2254 3962 4508 6509 7924 13018 13867 26036 27734 45563 55468 91126 158371 182252 316742 318941 633484 637882 1108597 1275764 2217194 3642533 4434388 7285066 7760179 14570132 15520358 25497731 31040716 44818993 50995462 89637986 101990924 178484117 179275972 313732951 356968234 627465902 713936468 1030836839 1254931804 2061673678 2196130657 4123347356 4392261314 7215857873 8784522628 14431715746 28863431492 50511005111 101022010222 202044020444