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61232220 = 22335797167
BaseRepresentation
bin1110100110010…
…1010001011100
311021012220211000
43221211101130
5111133412340
610024230300
71342315410
oct351452134
9137186730
1061232220
1131622745
121860b390
13c8bbaaa
1481bcd40
155597d30
hex3a6545c

61232220 has 192 divisors, whose sum is σ = 221276160. Its totient is φ = 13768704.

The previous prime is 61232209. The next prime is 61232221. The reversal of 61232220 is 2223216.

61232220 is a `hidden beast` number, since 612 + 32 + 2 + 20 = 666.

61232220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×612322202 = 7498769532256800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61232193 and 61232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61232221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366577 + ... + 366743.

It is an arithmetic number, because the mean of its divisors is an integer number (1152480).

Almost surely, 261232220 is an apocalyptic number.

61232220 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110638080).

61232220 is an abundant number, since it is smaller than the sum of its proper divisors (160043940).

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

61232220 is a wasteful number, since it uses less digits than its factorization.

61232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 61232220 is about 7825.1019162692. The cubic root of 61232220 is about 394.1486122024.

Adding to 61232220 its reverse (2223216), we get a palindrome (63455436).

The spelling of 61232220 in words is "sixty-one million, two hundred thirty-two thousand, two hundred twenty".