[go: up one dir, main page]

Search a number
-
+
66223488 = 273375979
BaseRepresentation
bin1111110010011…
…1110110000000
311121121111112210
43330213312000
5113423122423
610323222120
71432614252
oct374476600
9147544483
1066223488
1134421761
121a217940
13109488c6
148b1bcd2
155c31b93
hex3f27d80

66223488 has 128 divisors (see below), whose sum is σ = 186048000. Its totient is φ = 20846592.

The previous prime is 66223441. The next prime is 66223489. The reversal of 66223488 is 88432266.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×662234882 = 8771100725772288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (110592) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66223489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838233 + ... + 838311.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 266223488 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 66223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024000).

66223488 is an abundant number, since it is smaller than the sum of its proper divisors (119824512).

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

66223488 is a wasteful number, since it uses less digits than its factorization.

66223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 66223488 is about 8137.7815158678. The cubic root of 66223488 is about 404.5796339471.

The spelling of 66223488 in words is "sixty-six million, two hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 59 64 74 79 96 111 118 128 148 158 177 192 222 236 237 296 316 354 384 444 472 474 592 632 708 888 944 948 1184 1264 1416 1776 1888 1896 2183 2368 2528 2832 2923 3552 3776 3792 4366 4661 4736 5056 5664 5846 6549 7104 7552 7584 8732 8769 9322 10112 11328 11692 13098 13983 14208 15168 17464 17538 18644 22656 23384 26196 27966 30336 34928 35076 37288 46768 52392 55932 69856 70152 74576 93536 104784 111864 139712 140304 149152 172457 187072 209568 223728 279424 280608 298304 344914 374144 419136 447456 517371 561216 596608 689828 838272 894912 1034742 1122432 1379656 1789824 2069484 2759312 4138968 5518624 8277936 11037248 16555872 22074496 33111744 66223488