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5666252200 = 2352721930431
BaseRepresentation
bin1010100011011110…
…00010010110101000
3112121220001102202121
411101233002112220
543101030032300
62334131241024
7260262230500
oct52157022650
915556042677
105666252200
1124484a7164
121121749174
136c3bb316b
143ba772a00
152326ae81a
hex151bc25a8

5666252200 has 144 divisors (see below), whose sum is σ = 16132003200. Its totient is φ = 1840406400.

The previous prime is 5666252197. The next prime is 5666252233. The reversal of 5666252200 is 22526665.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 170985 + ... + 201415.

It is an arithmetic number, because the mean of its divisors is an integer number (112027800).

Almost surely, 25666252200 is an apocalyptic number.

5666252200 is a gapful number since it is divisible by the number (50) 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 5666252200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066001600).

5666252200 is an abundant number, since it is smaller than the sum of its proper divisors (10465751000).

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

5666252200 is a wasteful number, since it uses less digits than its factorization.

5666252200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30480 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 5666252200 is about 75274.5122866964. The cubic root of 5666252200 is about 1782.7836133300.

Adding to 5666252200 its reverse (22526665), we get a palindrome (5688778865).

The spelling of 5666252200 in words is "five billion, six hundred sixty-six million, two hundred fifty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 30431 37240 46550 60862 93100 121724 152155 186200 213017 243448 304310 426034 578189 608620 760775 852068 1065085 1156378 1217240 1491119 1521550 1704136 2130170 2312756 2890945 2982238 3043100 4047323 4260340 4625512 5325425 5781890 5964476 6086200 7455595 8094646 8520680 10650850 11563780 11928952 14454725 14911190 16189292 20236615 21301700 23127560 28331261 28909450 29822380 32378584 37277975 40473230 42603400 56662522 57818900 59644760 74555950 80946460 101183075 113325044 115637800 141656305 149111900 161892920 202366150 226650088 283312610 298223800 404732300 566625220 708281525 809464600 1133250440 1416563050 2833126100 5666252200