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229697815824 = 2434133132
BaseRepresentation
bin1101010111101100001…
…1101000010100010000
3210221220000222001010000
43111323003220110100
512230410120101244
6253304405210000
722411061135301
oct3257303502420
9727800861100
10229697815824
1189461479844
1238625400900
1318877c00269
14b1903487a8
155e957ac169
hex357b0e8510

229697815824 has 75 divisors (see below), whose sum is σ = 664862060533. Its totient is φ = 76560187392.

The previous prime is 229697815817. The next prime is 229697815861. The reversal of 229697815824 is 428518796922.

The square root of 229697815824 is 479268.

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

It can be written as a sum of positive squares in only one way, i.e., 80985776400 + 148712039424 = 284580^2 + 385632^2 .

It is a super-2 number, since 2×2296978158242 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17246992 + ... + 17260304.

Almost surely, 2229697815824 is an apocalyptic number.

229697815824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

229697815824 is the 479268-th square number.

It is an amenable number.

229697815824 is an abundant number, since it is smaller than the sum of its proper divisors (435164244709).

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

229697815824 is an frugal number, since it uses more digits than its factorization.

229697815824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26646 (or 13318 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 229697815824 in words is "two hundred twenty-nine billion, six hundred ninety-seven million, eight hundred fifteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 13313 26626 39939 53252 79878 106504 119817 159756 213008 239634 319512 359451 479268 639024 718902 958536 1078353 1437804 1917072 2156706 2875608 4313412 5751216 8626824 17253648 177235969 354471938 531707907 708943876 1063415814 1417887752 1595123721 2126831628 2835775504 3190247442 4253663256 4785371163 6380494884 8507326512 9570742326 12760989768 14356113489 19141484652 25521979536 28712226978 38282969304 57424453956 76565938608 114848907912 229697815824