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202006022052 = 223233161387047
BaseRepresentation
bin1011110000100001111…
…1110100011110100100
3201022102010222011102110
42330020133310132210
511302202020201202
6232444510041020
720410616566542
oct2741037643644
9638363864373
10202006022052
117874115126a
12331974a9170
1316083ac4583
149ac46a6d92
1553c462626c
hex2f087f47a4

202006022052 has 96 divisors (see below), whose sum is σ = 516030971904. Its totient is φ = 61308086400.

The previous prime is 202006022047. The next prime is 202006022063. The reversal of 202006022052 is 250220600202.

202006022052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2020060220522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328393 + ... + 715439.

It is an arithmetic number, because the mean of its divisors is an integer number (5375322624).

Almost surely, 2202006022052 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 202006022052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258015485952).

202006022052 is an abundant number, since it is smaller than the sum of its proper divisors (314024949852).

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

202006022052 is a wasteful number, since it uses less digits than its factorization.

202006022052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387169 (or 387167 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 202006022052 its reverse (250220600202), we get a palindrome (452226622254).

The spelling of 202006022052 in words is "two hundred two billion, six million, twenty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 23 31 46 61 62 69 92 93 122 124 138 183 186 244 276 366 372 713 732 1403 1426 1891 2139 2806 2852 3782 4209 4278 5612 5673 7564 8418 8556 11346 16836 22692 43493 86986 130479 173972 260958 387047 521916 774094 1161141 1548188 2322282 4644564 8902081 11998457 17804162 23609867 23996914 26706243 35608324 35995371 47219734 47993828 53412486 70829601 71990742 94439468 106824972 141659202 143981484 275964511 283318404 543026941 551929022 731905877 827893533 1086053882 1103858044 1463811754 1629080823 1655787066 2172107764 2195717631 2927623508 3258161646 3311574132 4391435262 6516323292 8782870524 16833835171 33667670342 50501505513 67335340684 101003011026 202006022052