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2221230121440 = 25351159101227311
BaseRepresentation
bin100000010100101011101…
…000011110000111100000
321212100101100100110002120
4200110223220132013200
5242343034402341230
64420230302144240
7316323103336611
oct40245350360740
97770340313076
102221230121440
117870225504a0
122ba5a5582080
131315cc06a985
1479718387c08
153cba51a8310
hex2052ba1e1e0

2221230121440 has 768 divisors, whose sum is σ = 7899032494080. Its totient is φ = 520125440000.

The previous prime is 2221230121427. The next prime is 2221230121457. The reversal of 2221230121440 is 441210321222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2221230121440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7142218885 + ... + 7142219195.

It is an arithmetic number, because the mean of its divisors is an integer number (10285198560).

Almost surely, 22221230121440 is an apocalyptic number.

2221230121440 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 2221230121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949516247040).

2221230121440 is an abundant number, since it is smaller than the sum of its proper divisors (5677802372640).

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

2221230121440 is a wasteful number, since it uses less digits than its factorization.

2221230121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2221230121440 its reverse (441210321222), we get a palindrome (2662440442662).

The spelling of 2221230121440 in words is "two trillion, two hundred twenty-one billion, two hundred thirty million, one hundred twenty-one thousand, four hundred forty".