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5105135224 = 23717163167197
BaseRepresentation
bin1001100000100101…
…00010111001111000
3111011210012201222101
410300102202321320
540423403311344
62202324433144
7240336635110
oct46022427170
914153181871
105105135224
11218a796722
12ba58487b4
1363487c897
1436602c040
151ed2c29d4
hex1304a2e78

5105135224 has 128 divisors (see below), whose sum is σ = 11783439360. Its totient is φ = 2023999488.

The previous prime is 5105135219. The next prime is 5105135237. The reversal of 5105135224 is 4225315015.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 5105135192 and 5105135201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25914294 + ... + 25914490.

It is an arithmetic number, because the mean of its divisors is an integer number (92058120).

Almost surely, 25105135224 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 5105135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891719680).

5105135224 is an abundant number, since it is smaller than the sum of its proper divisors (6678304136).

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

5105135224 is a wasteful number, since it uses less digits than its factorization.

5105135224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 5105135224 is about 71450.2289989332. The cubic root of 5105135224 is about 1721.8781566182.

The spelling of 5105135224 in words is "five billion, one hundred five million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 163 167 197 238 326 334 394 476 652 668 788 952 1141 1169 1304 1336 1379 1576 2282 2338 2758 2771 2839 3349 4564 4676 5516 5542 5678 6698 9128 9352 11032 11084 11356 13396 19397 19873 22168 22712 23443 26792 27221 32111 32899 38794 39746 46886 54442 64222 65798 77588 79492 93772 108884 128444 131596 155176 158984 187544 190547 217768 224777 230293 256888 263192 381094 449554 460586 462757 545887 559283 762188 899108 921172 925514 1091774 1118566 1524376 1798216 1842344 1851028 2183548 2237132 3239299 3702056 3821209 3914981 4367096 4474264 5362537 6478598 7642418 7829962 10725074 12957196 15284836 15659924 21450148 25914392 30569672 31319848 37537759 42900296 75075518 91163129 150151036 182326258 300302072 364652516 638141903 729305032 1276283806 2552567612 5105135224