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2253890340 = 22335133110357
BaseRepresentation
bin1000011001010111…
…1010001100100100
312211002002111022000
42012111322030210
514103443442330
61011352405300
7106565515602
oct20625721444
95732074260
102253890340
11a57298199
1252a9a6830
1329bc4c730
141754a8872
15d2d14560
hex8657a324

2253890340 has 192 divisors, whose sum is σ = 7795845120. Its totient is φ = 536855040.

The previous prime is 2253890339. The next prime is 2253890341. The reversal of 2253890340 is 430983522.

2253890340 is a `hidden beast` number, since 2 + 2 + 538 + 90 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2253890339) and next prime (2253890341).

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 = 2253890295 and 2253890304.

It is not an unprimeable number, because it can be changed into a prime (2253890341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212442 + ... + 222798.

It is an arithmetic number, because the mean of its divisors is an integer number (40603360).

Almost surely, 22253890340 is an apocalyptic number.

2253890340 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 2253890340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897922560).

2253890340 is an abundant number, since it is smaller than the sum of its proper divisors (5541954780).

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

2253890340 is a wasteful number, since it uses less digits than its factorization.

2253890340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10419 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2253890340 is about 47475.1549760504. The cubic root of 2253890340 is about 1311.1254900324.

The spelling of 2253890340 in words is "two billion, two hundred fifty-three million, eight hundred ninety thousand, three hundred forty".