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60225216 = 2631811733
BaseRepresentation
bin1110010110111…
…1011011000000
311012022202110120
43211233123000
5110404201331
65550500240
71330622502
oct345573300
9135282416
1060225216
1130aa5107
1218204680
13c62862c
147dd9d72
155449796
hex396f6c0

60225216 has 56 divisors (see below), whose sum is σ = 160318704. Its totient is φ = 19952640.

The previous prime is 60225197. The next prime is 60225227. The reversal of 60225216 is 61252206.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33886 + ... + 35618.

It is an arithmetic number, because the mean of its divisors is an integer number (2862834).

Almost surely, 260225216 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 60225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80159352).

60225216 is an abundant number, since it is smaller than the sum of its proper divisors (100093488).

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

60225216 is a wasteful number, since it uses less digits than its factorization.

60225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 60225216 is about 7760.4907061345. The cubic root of 60225216 is about 391.9759807579.

The spelling of 60225216 in words is "sixty million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 1733 2172 2896 3466 4344 5199 5792 6932 8688 10398 11584 13864 17376 20796 27728 34752 41592 55456 83184 110912 166368 313673 332736 627346 941019 1254692 1882038 2509384 3764076 5018768 7528152 10037536 15056304 20075072 30112608 60225216