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202140333032 = 231167199172283
BaseRepresentation
bin1011110001000010000…
…0001011001111101000
3201022202111200212110012
42330100200023033220
511302440411124112
6232510104511052
720414140324001
oct2742040131750
9638674625405
10202140333032
11787aaa48080
123321447b488
13160a588c321
149ad846a1a8
1553d1307022
hex2f1080b3e8

202140333032 has 64 divisors (see below), whose sum is σ = 421751232000. Its totient is φ = 90055247040.

The previous prime is 202140333029. The next prime is 202140333049. The reversal of 202140333032 is 230333041202.

It is a junction number, because it is equal to n+sod(n) for n = 202140332989 and 202140333007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1087163 + ... + 1259445.

It is an arithmetic number, because the mean of its divisors is an integer number (6589863000).

Almost surely, 2202140333032 is an apocalyptic number.

202140333032 is a gapful number since it is divisible by the number (22) 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 202140333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210875616000).

202140333032 is an abundant number, since it is smaller than the sum of its proper divisors (219610898968).

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

202140333032 is a wasteful number, since it uses less digits than its factorization.

202140333032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172566 (or 172562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 202140333032 its reverse (230333041202), we get a palindrome (432473374234).

The spelling of 202140333032 in words is "two hundred two billion, one hundred forty million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 67 88 134 199 268 398 536 737 796 1474 1592 2189 2948 4378 5896 8756 13333 17512 26666 53332 106664 146663 172283 293326 344566 586652 689132 1173304 1378264 1895113 3790226 7580452 11542961 15160904 23085922 34284317 46171844 68568634 92343688 126972571 137137268 253945142 274274536 377127487 507890284 754254974 1015780568 1508509948 2297049239 3017019896 4594098478 9188196956 18376393912 25267541629 50535083258 101070166516 202140333032