Search a number
-
+
223101132210 = 2325112293761313
BaseRepresentation
bin1100111111000111011…
…1010001110110110010
3210022212022010210101200
43033301313101312302
512123402342212320
6250254035312030
722055440222455
oct3176167216662
9708768123350
10223101132210
1186686855800
12372a414b616
131806632a288
14ab261b749c
155c0b5ae290
hex33f1dd1db2

223101132210 has 576 divisors, whose sum is σ = 690706729440. Its totient is φ = 49816166400.

The previous prime is 223101132209. The next prime is 223101132211. The reversal of 223101132210 is 12231101322.

223101132210 is a `hidden beast` number, since 22 + 310 + 1 + 1 + 322 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (223101132209) and next prime (223101132211).

It can be written as a sum of positive squares in 16 ways, for example, as 1935032121 + 221166100089 = 43989^2 + 470283^2 .

It is a super-3 number, since 3×2231011322103 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223101132211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 712783014 + ... + 712783326.

Almost surely, 2223101132210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223101132210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345353364720).

223101132210 is an abundant number, since it is smaller than the sum of its proper divisors (467605597230).

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

223101132210 is a wasteful number, since it uses less digits than its factorization.

223101132210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223101132210 its reverse (12231101322), we get a palindrome (235332233532).

The spelling of 223101132210 in words is "two hundred twenty-three billion, one hundred one million, one hundred thirty-two thousand, two hundred ten".