Search a number
-
+
3069209200 = 245229377151
BaseRepresentation
bin1011011011110000…
…0110101001110000
321220220020222111211
42312330012221300
522241204143300
61224315445504
7136025563531
oct26674065160
97826228454
103069209200
111335541332
12717a56894
1339bb37125
142118a0688
1512e6b54ba
hexb6f06a70

3069209200 has 120 divisors (see below), whose sum is σ = 7835302080. Its totient is φ = 1153152000.

The previous prime is 3069209197. The next prime is 3069209203. The reversal of 3069209200 is 29029603.

3069209200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3069209197) and next prime (3069209203).

It is a super-2 number, since 2×30692092002 = 18840090226729280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3069209203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425625 + ... + 432775.

It is an arithmetic number, because the mean of its divisors is an integer number (65294184).

Almost surely, 23069209200 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 3069209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917651040).

3069209200 is an abundant number, since it is smaller than the sum of its proper divisors (4766092880).

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

3069209200 is a wasteful number, since it uses less digits than its factorization.

3069209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7224 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 3069209200 is about 55400.4440415418. Note that the first 3 decimals coincide. The cubic root of 3069209200 is about 1453.2561308109.

The spelling of 3069209200 in words is "three billion, sixty-nine million, two hundred nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 37 40 50 58 74 80 100 116 145 148 185 200 232 290 296 370 400 464 580 592 725 740 925 1073 1160 1450 1480 1850 2146 2320 2900 2960 3700 4292 5365 5800 7151 7400 8584 10730 11600 14302 14800 17168 21460 26825 28604 35755 42920 53650 57208 71510 85840 107300 114416 143020 178775 207379 214600 264587 286040 357550 414758 429200 529174 572080 715100 829516 1036895 1058348 1322935 1430200 1659032 2073790 2116696 2645870 2860400 3318064 4147580 4233392 5184475 5291740 6614675 7673023 8295160 10368950 10583480 13229350 15346046 16590320 20737900 21166960 26458700 30692092 38365115 41475800 52917400 61384184 76730230 82951600 105834800 122768368 153460460 191825575 306920920 383651150 613841840 767302300 1534604600 3069209200