Search a number
-
+
3140022100 = 2252235325759
BaseRepresentation
bin1011101100101000…
…1110111101010100
322002211111122112211
42323022032331110
522412321201400
61235325323204
7140545514245
oct27312167524
98084448484
103140022100
111371508096
12737706504
133b06cb957
1421b054ccc
15135a01dba
hexbb28ef54

3140022100 has 72 divisors (see below), whose sum is σ = 7244536320. Its totient is φ = 1178686080.

The previous prime is 3140022097. The next prime is 3140022113. The reversal of 3140022100 is 12200413.

It is a zygodrome in base 3.

It is a congruent 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, 109021 + ... + 134779.

It is an arithmetic number, because the mean of its divisors is an integer number (100618560).

Almost surely, 23140022100 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 3140022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622268160).

3140022100 is an abundant number, since it is smaller than the sum of its proper divisors (4104514220).

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

3140022100 is a wasteful number, since it uses less digits than its factorization.

3140022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25849 (or 25842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3140022100 is about 56035.9000998467. The cubic root of 3140022100 is about 1464.3477859526.

Adding to 3140022100 its reverse (12200413), we get a palindrome (3152222513).

The spelling of 3140022100 in words is "three billion, one hundred forty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 53 92 100 106 115 212 230 265 460 530 575 1060 1150 1219 1325 2300 2438 2650 4876 5300 6095 12190 24380 25759 30475 51518 60950 103036 121900 128795 257590 515180 592457 643975 1184914 1287950 1365227 2369828 2575900 2730454 2962285 5460908 5924570 6826135 11849140 13652270 14811425 27304540 29622850 31400221 34130675 59245700 62800442 68261350 125600884 136522700 157001105 314002210 628004420 785005525 1570011050 3140022100