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2152202320 = 245238911261
BaseRepresentation
bin1000000001001000…
…0000000001010000
312112222202012120001
42000102000001100
513401430433240
6553321055344
7104222263222
oct20022000120
95488665501
102152202320
11a04953504
12500927554
13283b677c8
14165b98412
15c8e2989a
hex80480050

2152202320 has 40 divisors (see below), whose sum is σ = 5006409480. Its totient is φ = 860444160.

The previous prime is 2152202303. The next prime is 2152202357. The reversal of 2152202320 is 232022512.

It can be written as a sum of positive squares in 4 ways, for example, as 537126976 + 1615075344 = 23176^2 + 40188^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185490 + ... + 196750.

It is an arithmetic number, because the mean of its divisors is an integer number (125160237).

Almost surely, 22152202320 is an apocalyptic number.

2152202320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2152202320 is an abundant number, since it is smaller than the sum of its proper divisors (2854207160).

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

2152202320 is a wasteful number, since it uses less digits than its factorization.

2152202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13663 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2152202320 is about 46391.8346263650. The cubic root of 2152202320 is about 1291.1034206254.

Adding to 2152202320 its reverse (232022512), we get a palindrome (2384224832).

The spelling of 2152202320 in words is "two billion, one hundred fifty-two million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2389 4778 9556 11261 11945 19112 22522 23890 38224 45044 47780 56305 90088 95560 112610 180176 191120 225220 450440 900880 26902529 53805058 107610116 134512645 215220232 269025290 430440464 538050580 1076101160 2152202320