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229547801197225 = 5272432100672
BaseRepresentation
bin110100001100010111000011…
…001001100011101010101001
31010002202112222221111112002001
4310030113003021203222221
5220041402344101302400
62132112445403011001
766231165334425400
oct6414270311435251
91102675887445061
10229547801197225
1167160748527985
12218b3a9a209a61
139b1135991a644
14409825c472637
151b810e9a47a6a
hexd0c5c3263aa9

229547801197225 has 81 divisors (see below), whose sum is σ = 339023999700567. Its totient is φ = 153728371550880.

The previous prime is 229547801197217. The next prime is 229547801197301. The reversal of 229547801197225 is 522791108745922.

The square root of 229547801197225 is 15150835.

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., 82637208431001 + 146910592766224 = 9090501^2 + 12120668^2 .

It is not a de Polignac number, because 229547801197225 - 23 = 229547801197217 is a prime.

It is a super-2 number, since 2×2295478011972252 (a number of 30 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 80 ways as a sum of consecutive naturals, for example, 22802001642 + ... + 22802011708.

Almost surely, 2229547801197225 is an apocalyptic number.

229547801197225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

229547801197225 is the 15150835-th square number.

229547801197225 is the 7575418-th centered octagonal number.

It is an amenable number.

229547801197225 is a deficient number, since it is larger than the sum of its proper divisors (109476198503342).

229547801197225 is an frugal number, since it uses more digits than its factorization.

229547801197225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20244 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 64.

The spelling of 229547801197225 in words is "two hundred twenty-nine trillion, five hundred forty-seven billion, eight hundred one million, one hundred ninety-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 43 49 175 215 245 301 1075 1225 1505 1849 2107 7525 9245 10067 10535 12943 46225 50335 52675 64715 70469 90601 251675 323575 352345 432881 453005 493283 1761725 2164405 2265025 2466415 3030167 10822025 12332075 15150835 18613883 21211169 75754175 93069415 101344489 106055845 130297181 465347075 506722445 530279225 651485905 709411423 912080267 2533612225 3257429525 3547057115 4357813027 4560401335 4965879961 17735285575 21789065135 22802006675 24829399805 30504691189 108945325675 124146999025 152523455945 187385960161 213532838323 762617279725 936929800805 1067664191615 1311701721127 4684649004025 5338320958075 6558508605635 9181912047889 32792543028175 45909560239445 229547801197225