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2243240100000 = 25325517146617
BaseRepresentation
bin100000101001001011100…
…001111000000010100000
321221110012021000012120200
4200221023201320002200
5243223123431200000
64434310312305200
7321032403145404
oct40511341700240
97843167005520
102243240100000
11795397612119
123029086a2200
131336c8ca4823
147a8055a5104
153d542608500
hex20a4b8780a0

2243240100000 has 432 divisors, whose sum is σ = 8442594623736. Its totient is φ = 563005440000.

The previous prime is 2243240099993. The next prime is 2243240100109. The reversal of 2243240100000 is 10423422.

It can be written as a sum of positive squares in 12 ways, for example, as 682229744784 + 1561010355216 = 825972^2 + 1249404^2 .

It is a super-2 number, since 2×22432401000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15226692 + ... + 15373308.

Almost surely, 22243240100000 is an apocalyptic number.

2243240100000 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 2243240100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221297311868).

2243240100000 is an abundant number, since it is smaller than the sum of its proper divisors (6199354523736).

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

2243240100000 is a wasteful number, since it uses less digits than its factorization.

2243240100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146675 (or 146644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2243240100000 its reverse (10423422), we get a palindrome (2243250523422).

The spelling of 2243240100000 in words is "two trillion, two hundred forty-three billion, two hundred forty million, one hundred thousand".