Search a number
-
+
22399312896 = 2103215592
BaseRepresentation
bin10100110111000110…
…100110010000000000
32010211001020222210100
4110313012212100000
5331333211003041
614142355002400
71422035006142
oct246706462000
963731228710
1022399312896
119554912344
124411599400
13215c7b28cc
141126c06c92
158b17086b6
hex5371a6400

22399312896 has 99 divisors (see below), whose sum is σ = 64719043051. Its totient is φ = 7461648384.

The previous prime is 22399312867. The next prime is 22399312907. The reversal of 22399312896 is 69821399322.

The square root of 22399312896 is 149664.

It is a perfect power (a square), and thus also a powerful number.

22399312896 is a `hidden beast` number, since 2 + 239 + 9 + 312 + 8 + 96 = 666.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14366965 + ... + 14368523.

Almost surely, 222399312896 is an apocalyptic number.

22399312896 is the 149664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22399312896

22399312896 is an abundant number, since it is smaller than the sum of its proper divisors (42319730155).

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

22399312896 is an frugal number, since it uses more digits than its factorization.

22399312896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 1564 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 22399312896 in words is "twenty-two billion, three hundred ninety-nine million, three hundred twelve thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1559 2304 3072 3118 4608 4677 6236 9216 9354 12472 14031 18708 24944 28062 37416 49888 56124 74832 99776 112248 149664 199552 224496 299328 399104 448992 598656 798208 897984 1197312 1596416 1795968 2394624 2430481 3591936 4789248 4860962 7183872 7291443 9721924 14367744 14582886 19443848 21874329 29165772 38887696 43748658 58331544 77775392 87497316 116663088 155550784 174994632 233326176 311101568 349989264 466652352 622203136 699978528 933304704 1244406272 1399957056 1866609408 2488812544 2799914112 3733218816 5599828224 7466437632 11199656448 22399312896