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2165215008 = 253116133613
BaseRepresentation
bin1000000100001110…
…1000111100100000
312120220020022121110
42001003220330200
513413243340013
6554504023320
7104441011125
oct20103507440
95526208543
102165215008
11a112310a0
12505161b40
13286772718
141677c474c
15ca14a2c3
hex810e8f20

2165215008 has 96 divisors (see below), whose sum is σ = 6302221632. Its totient is φ = 645350400.

The previous prime is 2165215007. The next prime is 2165215033. The reversal of 2165215008 is 8005125612.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2165215001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47610 + ... + 81222.

It is an arithmetic number, because the mean of its divisors is an integer number (65648142).

Almost surely, 22165215008 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 2165215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151110816).

2165215008 is an abundant number, since it is smaller than the sum of its proper divisors (4137006624).

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

2165215008 is a wasteful number, since it uses less digits than its factorization.

2165215008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33698 (or 33690 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2165215008 is about 46531.8708843734. The cubic root of 2165215008 is about 1293.7002921834.

The spelling of 2165215008 in words is "two billion, one hundred sixty-five million, two hundred fifteen thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 66 88 96 122 132 176 183 244 264 352 366 488 528 671 732 976 1056 1342 1464 1952 2013 2684 2928 4026 5368 5856 8052 10736 16104 21472 32208 33613 64416 67226 100839 134452 201678 268904 369743 403356 537808 739486 806712 1075616 1109229 1478972 1613424 2050393 2218458 2957944 3226848 4100786 4436916 5915888 6151179 8201572 8873832 11831776 12302358 16403144 17747664 22554323 24604716 32806288 35495328 45108646 49209432 65612576 67662969 90217292 98418864 135325938 180434584 196837728 270651876 360869168 541303752 721738336 1082607504 2165215008