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2193905340 = 22325113121153
BaseRepresentation
bin1000001011000100…
…0101011010111100
312122220012221100100
42002301011122330
513443114432330
61001411001100
7105236613324
oct20261053274
95586187310
102193905340
11a26447610
12512899190
1328c6a9553
1416b532284
15cc916060
hex82c456bc

2193905340 has 216 divisors, whose sum is σ = 7508080944. Its totient is φ = 514252800.

The previous prime is 2193905333. The next prime is 2193905359. The reversal of 2193905340 is 435093912.

It is a happy number.

2193905340 is a `hidden beast` number, since 219 + 390 + 53 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2193905295 and 2193905304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1902204 + ... + 1903356.

It is an arithmetic number, because the mean of its divisors is an integer number (34759634).

Almost surely, 22193905340 is an apocalyptic number.

2193905340 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 2193905340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754040472).

2193905340 is an abundant number, since it is smaller than the sum of its proper divisors (5314175604).

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

2193905340 is a wasteful number, since it uses less digits than its factorization.

2193905340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2193905340 is about 46839.1432457939. The cubic root of 2193905340 is about 1299.3893265941.

The spelling of 2193905340 in words is "two billion, one hundred ninety-three million, nine hundred five thousand, three hundred forty".