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2153217024 = 21032733377
BaseRepresentation
bin1000000001010111…
…0111110000000000
312120001122202110200
42000111313300000
513402210421044
6553354525200
7104234020440
oct20025676000
95501582420
102153217024
11a05486902
12501136800
1328413161a
14165d80120
15c907a369
hex80577c00

2153217024 has 132 divisors (see below), whose sum is σ = 7105775664. Its totient is φ = 615186432.

The previous prime is 2153217023. The next prime is 2153217083. The reversal of 2153217024 is 4207123512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153217023) 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 11 ways as a sum of consecutive naturals, for example, 47824 + ... + 81200.

Almost surely, 22153217024 is an apocalyptic number.

2153217024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552887832).

2153217024 is an abundant number, since it is smaller than the sum of its proper divisors (4952558640).

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

2153217024 is a wasteful number, since it uses less digits than its factorization.

2153217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33410 (or 33389 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2153217024 is about 46402.7695725158. The cubic root of 2153217024 is about 1291.3062952896.

The spelling of 2153217024 in words is "two billion, one hundred fifty-three million, two hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 33377 64512 66754 100131 133508 200262 233639 267016 300393 400524 467278 534032 600786 700917 801048 934556 1068064 1201572 1401834 1602096 1869112 2102751 2136128 2403144 2803668 3204192 3738224 4205502 4272256 4806288 5607336 6408384 7476448 8411004 8544512 9612576 11214672 12816768 14952896 16822008 17089024 19225152 22429344 25633536 29905792 33644016 34178048 38450304 44858688 51267072 59811584 67288032 76900608 89717376 102534144 119623168 134576064 153801216 179434752 239246336 269152128 307602432 358869504 538304256 717739008 1076608512 2153217024