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61182216 = 2334263359
BaseRepresentation
bin1110100101100…
…1000100001000
311021010101020000
43221121010020
5111130312331
610023203000
71342016544
oct351310410
9137111200
1061182216
1131599117
12185a6460
13c8a20c4
1481a8a24
1555880e6
hex3a59108

61182216 has 80 divisors (see below), whose sum is σ = 172497600. Its totient is φ = 20259936.

The previous prime is 61182197. The next prime is 61182217. The reversal of 61182216 is 61228116.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 61182216.

It is not an unprimeable number, because it can be changed into a prime (61182217) 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, 170245 + ... + 170603.

It is an arithmetic number, because the mean of its divisors is an integer number (2156220).

Almost surely, 261182216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61182216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248800).

61182216 is an abundant number, since it is smaller than the sum of its proper divisors (111315384).

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

61182216 is a wasteful number, since it uses less digits than its factorization.

61182216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 61182216 is about 7821.9061615440. The cubic root of 61182216 is about 394.0412919353.

The spelling of 61182216 in words is "sixty-one million, one hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 359 526 648 718 789 1052 1077 1436 1578 2104 2154 2367 2872 3156 3231 4308 4734 6312 6462 7101 8616 9468 9693 12924 14202 18936 19386 21303 25848 28404 29079 38772 42606 56808 58158 77544 85212 94417 116316 170424 188834 232632 283251 377668 566502 755336 849753 1133004 1699506 2266008 2549259 3399012 5098518 6798024 7647777 10197036 15295554 20394072 30591108 61182216