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5140223352 = 2332117191411
BaseRepresentation
bin1001100100110000…
…11001010101111000
3111021020020101211200
410302120121111320
541011344121402
62210020454200
7241244114625
oct46230312570
914236211750
105140223352
1121a8581980
12bb554a360
1363bc167a4
1436a96334c
1520140421c
hex132619578

5140223352 has 96 divisors (see below), whose sum is σ = 15401093760. Its totient is φ = 1535688000.

The previous prime is 5140223327. The next prime is 5140223369. The reversal of 5140223352 is 2533220415.

It is a happy number.

5140223352 is a `hidden beast` number, since 51 + 40 + 223 + 352 = 666.

It is a super-2 number, since 2×51402233522 = 52843792216892231808, which contains 22 as substring.

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, 10527 + ... + 101937.

It is an arithmetic number, because the mean of its divisors is an integer number (160428060).

Almost surely, 25140223352 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 5140223352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700546880).

5140223352 is an abundant number, since it is smaller than the sum of its proper divisors (10260870408).

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

5140223352 is a wasteful number, since it uses less digits than its factorization.

5140223352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91505 (or 91498 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5140223352 is about 71695.3509789861. The cubic root of 5140223352 is about 1725.8140359558.

Adding to 5140223352 its reverse (2533220415), we get a palindrome (7673443767).

The spelling of 5140223352 in words is "five billion, one hundred forty million, two hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 568 639 781 792 852 1278 1562 1704 2343 2556 3124 4686 5112 6248 7029 9372 14058 18744 28116 56232 91411 182822 274233 365644 548466 731288 822699 1005521 1096932 1645398 2011042 2193864 3016563 3290796 4022084 6033126 6490181 6581592 8044168 9049689 12066252 12980362 18099378 19470543 24132504 25960724 36198756 38941086 51921448 58411629 71391991 72397512 77882172 116823258 142783982 155764344 214175973 233646516 285567964 428351946 467293032 571135928 642527919 856703892 1285055838 1713407784 2570111676 5140223352