Search a number
-
+
5228199936 = 22132277
BaseRepresentation
bin1001101111010000…
…00000000000000000
3111111100210002000200
410313220000000000
541201404344221
62222442245200
7243362652261
oct46750000000
914440702020
105228199936
112243200aa3
12101aab6800
1365420a73b
14378504968
15208ed1426
hex137a00000

5228199936 has 132 divisors (see below), whose sum is σ = 15158211042. Its totient is φ = 1736441856.

The previous prime is 5228199931. The next prime is 5228199947. The reversal of 5228199936 is 6399918225.

It is a happy number.

5228199936 is a `hidden beast` number, since 522 + 81 + 9 + 9 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4992270336 + 235929600 = 70656^2 + 15360^2 .

It is not an unprimeable number, because it can be changed into a prime (5228199931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874230 + ... + 18874506.

Almost surely, 25228199936 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 5228199936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7579105521).

5228199936 is an abundant number, since it is smaller than the sum of its proper divisors (9930011106).

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

5228199936 is an frugal number, since it uses more digits than its factorization.

5228199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 282 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 5228199936 is about 72306.2925062543. The cubic root of 5228199936 is about 1735.6043468213.

The spelling of 5228199936 in words is "five billion, two hundred twenty-eight million, one hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 277 288 384 512 554 576 768 831 1024 1108 1152 1536 1662 2048 2216 2304 2493 3072 3324 4096 4432 4608 4986 6144 6648 8192 8864 9216 9972 12288 13296 16384 17728 18432 19944 24576 26592 32768 35456 36864 39888 49152 53184 65536 70912 73728 79776 98304 106368 131072 141824 147456 159552 196608 212736 262144 283648 294912 319104 393216 425472 524288 567296 589824 638208 786432 850944 1048576 1134592 1179648 1276416 1572864 1701888 2097152 2269184 2359296 2552832 3145728 3403776 4538368 4718592 5105664 6291456 6807552 9076736 9437184 10211328 13615104 18153472 18874368 20422656 27230208 36306944 40845312 54460416 72613888 81690624 108920832 145227776 163381248 217841664 290455552 326762496 435683328 580911104 653524992 871366656 1307049984 1742733312 2614099968 5228199936