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2152350816 = 253711291173
BaseRepresentation
bin1000000001001010…
…0100010001100000
312120000000202020220
42000102210101200
513402000211231
6553324203040
7104223452160
oct20022442140
95500022226
102152350816
11a04a45030
12500999480
13283bba285
14165bd65a0
15c8e58896
hex804a4460

2152350816 has 96 divisors (see below), whose sum is σ = 7044081408. Its totient is φ = 559050240.

The previous prime is 2152350769. The next prime is 2152350847. The reversal of 2152350816 is 6180532512.

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

It is a super-2 number, since 2×21523508162 = 9265228070271731712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 138195 + ... + 152978.

It is an arithmetic number, because the mean of its divisors is an integer number (73375848).

Almost surely, 22152350816 is an apocalyptic number.

It is an amenable number.

2152350816 is an abundant number, since it is smaller than the sum of its proper divisors (4891730592).

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

2152350816 is a wasteful number, since it uses less digits than its factorization.

2152350816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291204 (or 291196 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2152350816 is about 46393.4350528175. The cubic root of 2152350816 is about 1291.1331141293.

The spelling of 2152350816 in words is "two billion, one hundred fifty-two million, three hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 291173 582346 873519 1164692 1747038 2038211 2329384 3202903 3494076 4076422 4658768 6114633 6405806 6988152 8152844 9317536 9608709 12229266 12811612 13976304 16305688 19217418 22420321 24458532 25623224 27952608 32611376 38434836 44840642 48917064 51246448 65222752 67260963 76869672 89681284 97834128 102492896 134521926 153739344 179362568 195668256 269043852 307478688 358725136 538087704 717450272 1076175408 2152350816