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224644717089 = 3413240512
BaseRepresentation
bin1101000100110111011…
…1100101101000100001
3210110211212200000210000
43101031313211220201
512140033021421324
6251111135530213
722141622406102
oct3211567455041
9713755600700
10224644717089
11872a90a4991
1237655089969
131825106ca00
14ac311c43a9
155c9bd679c9
hex344dde5a21

224644717089 has 45 divisors (see below), whose sum is σ = 363469661379. Its totient is φ = 138208777200.

The previous prime is 224644717049. The next prime is 224644717093. The reversal of 224644717089 is 980717446422.

The square root of 224644717089 is 473967.

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

224644717089 is a `hidden beast` number, since 2 + 2 + 464 + 4 + 7 + 170 + 8 + 9 = 666.

224644717089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33231467025 + 191413250064 = 182295^2 + 437508^2 .

It is a de Polignac number, because none of the positive numbers 2k-224644717089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (224644717039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55452114 + ... + 55456164.

Almost surely, 2224644717089 is an apocalyptic number.

224644717089 is the 473967-th square number.

224644717089 is the 236984-th centered octagonal number.

It is an amenable number.

224644717089 is a deficient number, since it is larger than the sum of its proper divisors (138824944290).

224644717089 is an frugal number, since it uses more digits than its factorization.

224644717089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8140 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 224644717089 in words is "two hundred twenty-four billion, six hundred forty-four million, seven hundred seventeen thousand, eighty-nine".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4051 4563 12153 13689 36459 52663 109377 157989 328131 473967 684619 1421901 2053857 4265703 6161571 16410601 18484713 49231803 55454139 147695409 213337813 443086227 640013439 1329258681 1920040317 2773391569 5760120951 8320174707 17280362853 24960524121 74881572363 224644717089