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215465472 = 29321923107
BaseRepresentation
bin11001101011110…
…11111000000000
3120000102210001200
430311323320000
5420124343342
633214101200
75224266135
oct1465737000
9500383050
10215465472
11100696442
12601aa800
1335840781
142088a58c
1513db194c
hexcd7be00

215465472 has 240 divisors, whose sum is σ = 689420160. Its totient is φ = 64475136.

The previous prime is 215465441. The next prime is 215465489. The reversal of 215465472 is 274564512.

It is a happy number.

215465472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013643 + ... + 2013749.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2215465472 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 215465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

215465472 is an abundant number, since it is smaller than the sum of its proper divisors (473954688).

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

215465472 is a wasteful number, since it uses less digits than its factorization.

215465472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 215465472 is about 14678.7421804458. The cubic root of 215465472 is about 599.5046578394.

The spelling of 215465472 in words is "two hundred fifteen million, four hundred sixty-five thousand, four hundred seventy-two".