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2243501163900 = 22335217291685449
BaseRepresentation
bin100000101001011011000…
…101110000010101111100
321221110212110020121221000
4200221123011300111330
5243224142244221100
64434352240010300
7321042023150553
oct40513305602574
97843773217830
102243501163900
11795510a12307
12302980000990
1313373b0bc0c9
147a82c120d9a
153d55a4c5900
hex20a5b17057c

2243501163900 has 288 divisors, whose sum is σ = 7900041240000. Its totient is φ = 543658106880.

The previous prime is 2243501163887. The next prime is 2243501163949. The reversal of 2243501163900 is 93611053422.

2243501163900 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 5 + 0 + 11 + 639 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488376 + ... + 2173824.

It is an arithmetic number, because the mean of its divisors is an integer number (27430698750).

Almost surely, 22243501163900 is an apocalyptic number.

2243501163900 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 2243501163900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950020620000).

2243501163900 is an abundant number, since it is smaller than the sum of its proper divisors (5656540076100).

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

2243501163900 is a wasteful number, since it uses less digits than its factorization.

2243501163900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685518 (or 1685505 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 2243501163900 in words is "two trillion, two hundred forty-three billion, five hundred one million, one hundred sixty-three thousand, nine hundred".