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35052072220 = 2251123101107641
BaseRepresentation
bin100000101001010001…
…000010110100011100
310100110211122202121001
4200221101002310130
51033241312302340
624034103320044
72350423461244
oct405121026434
9110424582531
1035052072220
1113957a87730
126962a50024
1333c7c56349
1419a73c2b24
15da241929a
hex829442d1c

35052072220 has 192 divisors, whose sum is σ = 85546202112. Its totient is φ = 11939840000.

The previous prime is 35052072199. The next prime is 35052072227. The reversal of 35052072220 is 2227025053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35052072227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54683100 + ... + 54683740.

It is an arithmetic number, because the mean of its divisors is an integer number (445553136).

Almost surely, 235052072220 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 35052072220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42773101056).

35052072220 is an abundant number, since it is smaller than the sum of its proper divisors (50494129892).

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

35052072220 is a wasteful number, since it uses less digits than its factorization.

35052072220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

Adding to 35052072220 its reverse (2227025053), we get a palindrome (37279097273).

It can be divided in two parts, 350520 and 72220, that added together give a triangular number (422740 = T919).

The spelling of 35052072220 in words is "thirty-five billion, fifty-two million, seventy-two thousand, two hundred twenty".