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233214301221 = 311231512034869
BaseRepresentation
bin1101100100110010100…
…1111101010000100101
3211021222002212000012220
43121030221331100211
512310110330114341
6255045343502553
722564160565306
oct3311451752045
9737862760186
10233214301221
118a9a6436320
1239246bb7a59
1318cb85bc355
14b4053987ad
1560ee373a66
hex364ca7d425

233214301221 has 32 divisors (see below), whose sum is σ = 356313876480. Its totient is φ = 134301288000.

The previous prime is 233214301217. The next prime is 233214301241. The reversal of 233214301221 is 122103412332.

233214301221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 233214301221 - 22 = 233214301217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233214301191 and 233214301200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233214301211) 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 31 ways as a sum of consecutive naturals, for example, 902826 + ... + 1132043.

It is an arithmetic number, because the mean of its divisors is an integer number (11134808640).

Almost surely, 2233214301221 is an apocalyptic number.

It is an amenable number.

233214301221 is a deficient number, since it is larger than the sum of its proper divisors (123099575259).

233214301221 is a wasteful number, since it uses less digits than its factorization.

233214301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035057.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233214301221 its reverse (122103412332), we get a palindrome (355317713553).

Subtracting from 233214301221 its reverse (122103412332), we obtain a square (111110888889 = 3333332).

It can be divided in two parts, 233214 and 301221, that added together give a palindrome (534435).

The spelling of 233214301221 in words is "two hundred thirty-three billion, two hundred fourteen million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 3 11 23 33 69 151 253 453 759 1661 3473 4983 10419 38203 114609 2034869 6104607 22383559 46801987 67150677 140405961 307265219 514821857 921795657 1544465571 3379917409 7067100037 10139752227 21201300111 77738100407 233214301221