Search a number
-
+
223487835025 = 527213210392
BaseRepresentation
bin1101000000100011101…
…0011011101110010001
3210100212020210022221011
43100020322123232101
512130200341210100
6250400251530521
722101144153100
oct3201072335621
9710766708834
10223487835025
1186865069304
1237391759a41
13180c8494300
14ab616ba037
155c304e7bba
hex3408e9bb91

223487835025 has 81 divisors (see below), whose sum is σ = 349411285521. Its totient is φ = 141324281280.

The previous prime is 223487835019. The next prime is 223487835073. The reversal of 223487835025 is 520538784322.

The square root of 223487835025 is 472745.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57604320081 + 165883514944 = 240009^2 + 407288^2 .

It is not a de Polignac number, because 223487835025 - 27 = 223487834897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 223487835025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 215098456 + ... + 215099494.

Almost surely, 2223487835025 is an apocalyptic number.

223487835025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223487835025 is the 472745-th square number.

223487835025 is the 236373-rd centered octagonal number.

It is an amenable number.

223487835025 is a deficient number, since it is larger than the sum of its proper divisors (125923450496).

223487835025 is an equidigital number, since it uses as much as digits as its factorization.

223487835025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

Multiplying 223487835025 by its sum of digits (49), we get a square (10950903916225 = 33092152).

223487835025 divided by its sum of digits (49) gives a square (4560976225 = 675352).

The spelling of 223487835025 in words is "two hundred twenty-three billion, four hundred eighty-seven million, eight hundred thirty-five thousand, twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1039 1183 1225 2275 3185 4225 5195 5915 7273 8281 13507 15925 25975 29575 36365 41405 50911 67535 94549 175591 181825 207025 254555 337675 472745 661843 877955 1079521 1229137 1272775 2363725 3309215 4389775 5397605 6145685 7556647 8603959 14033773 16546075 26988025 30728425 37783235 43019795 52896529 70168865 98236411 182439049 188916175 215098975 264482645 350844325 491182055 687654877 912195245 1277073343 1322413225 2455910275 3438274385 4560976225 6385366715 8939513401 17191371925 31926833575 44697567005 223487835025