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5227161600 = 21135234031
BaseRepresentation
bin1001101111001000…
…00010100000000000
3111111021211022200210
410313210002200000
541201123132400
62222404114120
7243351066123
oct46744024000
914437738623
105227161600
112242661971
12101a695940
13653c35c3b
143783143ba
15208d78950
hex137902800

5227161600 has 144 divisors (see below), whose sum is σ = 17280768960. Its totient is φ = 1393868800.

The previous prime is 5227161559. The next prime is 5227161613. The reversal of 5227161600 is 61617225.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136585 + ... + 170615.

It is an arithmetic number, because the mean of its divisors is an integer number (120005340).

Almost surely, 25227161600 is an apocalyptic number.

5227161600 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 5227161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640384480).

5227161600 is an abundant number, since it is smaller than the sum of its proper divisors (12053607360).

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

5227161600 is a wasteful number, since it uses less digits than its factorization.

5227161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34066 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5227161600 is about 72299.1120277421. The cubic root of 5227161600 is about 1735.4894404919.

Adding to 5227161600 its reverse (61617225), we get a palindrome (5288778825).

It can be divided in two parts, 5227161 and 600, that added together give a triangular number (5227761 = T3233).

The spelling of 5227161600 in words is "five billion, two hundred twenty-seven million, one hundred sixty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2048 2400 2560 3072 3200 3840 4800 5120 6144 6400 7680 9600 10240 12800 15360 19200 25600 30720 34031 38400 51200 68062 76800 102093 136124 153600 170155 204186 272248 340310 408372 510465 544496 680620 816744 850775 1020930 1088992 1361240 1633488 1701550 2041860 2177984 2552325 2722480 3266976 3403100 4083720 4355968 5104650 5444960 6533952 6806200 8167440 8711936 10209300 10889920 13067904 13612400 16334880 17423872 20418600 21779840 26135808 27224800 32669760 34847744 40837200 43559680 52271616 54449600 65339520 69695488 81674400 87119360 104543232 108899200 130679040 163348800 174238720 209086464 217798400 261358080 326697600 348477440 435596800 522716160 653395200 871193600 1045432320 1306790400 1742387200 2613580800 5227161600