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2240013225450 = 235271113178397109
BaseRepresentation
bin100000100110001011001…
…100010100110111101010
321221010212101001222212110
4200212023030110313222
5243200021341203300
64433014201223150
7320556421155030
oct40461314246752
97833771058773
102240013225450
11793a91083550
12302167a91ab6
131333035b67c0
147a5babc2550
153d40419c550
hex2098b314dea

2240013225450 has 1536 divisors, whose sum is σ = 8149158420480. Its totient is φ = 391761100800.

The previous prime is 2240013225431. The next prime is 2240013225497. The reversal of 2240013225450 is 545223100422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 767 ways as a sum of consecutive naturals, for example, 20550579996 + ... + 20550580104.

It is an arithmetic number, because the mean of its divisors is an integer number (5305441680).

Almost surely, 22240013225450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240013225450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074579210240).

2240013225450 is an abundant number, since it is smaller than the sum of its proper divisors (5909145195030).

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

2240013225450 is a wasteful number, since it uses less digits than its factorization.

2240013225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2240013225450 its reverse (545223100422), we get a palindrome (2785236325872).

The spelling of 2240013225450 in words is "two trillion, two hundred forty billion, thirteen million, two hundred twenty-five thousand, four hundred fifty".