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2152203340 = 225719899091
BaseRepresentation
bin1000000001001000…
…0000010001001100
312112222202020221211
42000102000101030
513401431001330
6553321104204
7104222266210
oct20022002114
95488666854
102152203340
11a04954251
12500928064
13283b68101
14165b98940
15c8e29d2a
hex8048044c

2152203340 has 96 divisors (see below), whose sum is σ = 5498841600. Its totient is φ = 691130880.

The previous prime is 2152203331. The next prime is 2152203371. The reversal of 2152203340 is 433022512.

2152203340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232195 + ... + 241285.

It is an arithmetic number, because the mean of its divisors is an integer number (57279600).

Almost surely, 22152203340 is an apocalyptic number.

2152203340 is a gapful number since it is divisible by the number (20) 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 2152203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749420800).

2152203340 is an abundant number, since it is smaller than the sum of its proper divisors (3346638260).

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

2152203340 is a wasteful number, since it uses less digits than its factorization.

2152203340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2152203340 is about 46391.8456196776. The cubic root of 2152203340 is about 1291.1036245909.

Adding to 2152203340 its reverse (433022512), we get a palindrome (2585225852).

The spelling of 2152203340 in words is "two billion, one hundred fifty-two million, two hundred three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 89 95 133 140 178 190 266 356 380 445 532 623 665 890 1246 1330 1691 1780 2492 2660 3115 3382 6230 6764 8455 9091 11837 12460 16910 18182 23674 33820 36364 45455 47348 59185 63637 90910 118370 127274 172729 181820 236740 254548 318185 345458 636370 690916 809099 863645 1209103 1272740 1618198 1727290 2418206 3236396 3454580 4045495 4836412 5663693 6045515 8090990 11327386 12091030 15372881 16181980 22654772 24182060 28318465 30745762 56636930 61491524 76864405 107610167 113273860 153728810 215220334 307457620 430440668 538050835 1076101670 2152203340