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2215351728 = 243333715217
BaseRepresentation
bin1000010000001011…
…1001010110110000
312201101120112021000
42010002321112300
514014112223403
61003454402000
7105620115252
oct20402712660
95641515230
102215351728
11a375655a7
12519b00300
13293c78115
14170315cd2
15ce7507a3
hex840b95b0

2215351728 has 80 divisors (see below), whose sum is σ = 6378168160. Its totient is φ = 736210944.

The previous prime is 2215351709. The next prime is 2215351741. The reversal of 2215351728 is 8271535122.

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

It is a junction number, because it is equal to n+sod(n) for n = 2215351692 and 2215351701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137976 + ... + 153192.

It is an arithmetic number, because the mean of its divisors is an integer number (79727102).

Almost surely, 22215351728 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 2215351728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189084080).

2215351728 is an abundant number, since it is smaller than the sum of its proper divisors (4162816432).

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

2215351728 is a wasteful number, since it uses less digits than its factorization.

2215351728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15571 (or 15559 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 2215351728 is about 47067.5230705845. The cubic root of 2215351728 is about 1303.6096382571.

The spelling of 2215351728 in words is "two billion, two hundred fifteen million, three hundred fifty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 337 432 674 1011 1348 2022 2696 3033 4044 5392 6066 8088 9099 12132 15217 16176 18198 24264 30434 36396 45651 48528 60868 72792 91302 121736 136953 145584 182604 243472 273906 365208 410859 547812 730416 821718 1095624 1643436 2191248 3286872 5128129 6573744 10256258 15384387 20512516 30768774 41025032 46153161 61537548 82050064 92306322 123075096 138459483 184612644 246150192 276918966 369225288 553837932 738450576 1107675864 2215351728