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229425672256 = 2611254432
BaseRepresentation
bin1101010110101011010…
…1011111000001000000
3210221012001212201022121
43111222311133001000
512224330433003011
6253221404214024
722401245015644
oct3255265370100
9727161781277
10229425672256
11893318a1300
123856a23a314
1318833706871
14b166146c24
155e7b951e71
hex356ad5f040

229425672256 has 63 divisors (see below), whose sum is σ = 500508926463. Its totient is φ = 104265237120.

The previous prime is 229425672211. The next prime is 229425672361. The reversal of 229425672256 is 652276524922.

The square root of 229425672256 is 478984.

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

It is a super-2 number, since 2×2294256722562 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42147871 + ... + 42153313.

Almost surely, 2229425672256 is an apocalyptic number.

229425672256 is the 478984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229425672256

229425672256 is an abundant number, since it is smaller than the sum of its proper divisors (271083254207).

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

229425672256 is an frugal number, since it uses more digits than its factorization.

229425672256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 5456 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 52.

The spelling of 229425672256 in words is "two hundred twenty-nine billion, four hundred twenty-five million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5443 7744 10886 21772 43544 59873 87088 119746 174176 239492 348352 478984 658603 957968 1317206 1915936 2634412 3831872 5268824 10537648 21075296 29626249 42150592 59252498 118504996 237009992 325888739 474019984 651777478 948039968 1303554956 1896079936 2607109912 3584776129 5214219824 7169552258 10428439648 14339104516 20856879296 28678209032 57356418064 114712836128 229425672256