Search a number
-
+
3232140100 = 225277165033
BaseRepresentation
bin1100000010100110…
…1000101101000100
322100020211201200121
43000221220231010
523104411440400
61252415551324
7143044510660
oct30051505504
98306751617
103232140100
111409505772
1276252b544
133c6812947
142293938a0
1513db4b21a
hexc0a68b44

3232140100 has 72 divisors (see below), whose sum is σ = 8128729728. Its totient is φ = 1092537600.

The previous prime is 3232140097. The next prime is 3232140139. The reversal of 3232140100 is 10412323.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17184 + ... + 82216.

It is an arithmetic number, because the mean of its divisors is an integer number (112899024).

Almost surely, 23232140100 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 3232140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064364864).

3232140100 is an abundant number, since it is smaller than the sum of its proper divisors (4896589628).

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

3232140100 is a wasteful number, since it uses less digits than its factorization.

3232140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65125 (or 65118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3232140100 is about 56851.9137760551. The cubic root of 3232140100 is about 1478.5297213819.

Adding to 3232140100 its reverse (10412323), we get a palindrome (3242552423).

The spelling of 3232140100 in words is "three billion, two hundred thirty-two million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 49700 65033 130066 260132 325165 455231 650330 910462 1300660 1625825 1820924 2276155 3251650 4552310 4617343 6503300 9104620 9234686 11380775 18469372 22761550 23086715 32321401 45523100 46173430 64642802 92346860 115433575 129285604 161607005 230867150 323214010 461734300 646428020 808035025 1616070050 3232140100