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61225146 = 234715323
BaseRepresentation
bin1110100110001…
…1100010111010
311021012120010000
43221203202322
5111133201041
610024133430
71342255653
oct351434272
9137176100
1061225146
11316183a4
1218607276
13c8b87c8
1481ba52a
155595bb6
hex3a638ba

61225146 has 40 divisors (see below), whose sum is σ = 139148064. Its totient is φ = 20117160.

The previous prime is 61225141. The next prime is 61225159. The reversal of 61225146 is 64152216.

61225146 is a `hidden beast` number, since 612 + 2 + 5 + 1 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61225141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8841 + ... + 14163.

Almost surely, 261225146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61225146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69574032).

61225146 is an abundant number, since it is smaller than the sum of its proper divisors (77922918).

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

61225146 is a wasteful number, since it uses less digits than its factorization.

61225146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5408 (or 5399 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 61225146 is about 7824.6498963212. The cubic root of 61225146 is about 394.1334332946.

The spelling of 61225146 in words is "sixty-one million, two hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 213 426 639 1278 1917 3834 5323 5751 10646 11502 15969 31938 47907 95814 143721 287442 377933 431163 755866 862326 1133799 2267598 3401397 6802794 10204191 20408382 30612573 61225146