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610101216 = 25322717817
BaseRepresentation
bin100100010111010…
…110011111100000
31120112000100112100
4210113112133200
52222141214331
6140312330400
721055526514
oct4427263740
91515010470
10610101216
1129342808a
121503a3a00
139952454a
145b056144
1538865ae6
hex245d67e0

610101216 has 72 divisors (see below), whose sum is σ = 1741600224. Its totient is φ = 202590720.

The previous prime is 610101187. The next prime is 610101221. The reversal of 610101216 is 612101016.

610101216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74140 + ... + 81956.

It is an arithmetic number, because the mean of its divisors is an integer number (24188892).

Almost surely, 2610101216 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 610101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870800112).

610101216 is an abundant number, since it is smaller than the sum of its proper divisors (1131499008).

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

610101216 is a wasteful number, since it uses less digits than its factorization.

610101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8104 (or 8093 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 610101216 is about 24700.2270434909. The cubic root of 610101216 is about 848.1395136544.

It can be divided in two parts, 61010 and 1216, that added together give a palindrome (62226).

The spelling of 610101216 in words is "six hundred ten million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 271 288 542 813 1084 1626 2168 2439 3252 4336 4878 6504 7817 8672 9756 13008 15634 19512 23451 26016 31268 39024 46902 62536 70353 78048 93804 125072 140706 187608 250144 281412 375216 562824 750432 1125648 2118407 2251296 4236814 6355221 8473628 12710442 16947256 19065663 25420884 33894512 38131326 50841768 67789024 76262652 101683536 152525304 203367072 305050608 610101216