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2221220621376 = 2632620992
BaseRepresentation
bin100000010100101011000…
…100001110110001000000
321212100100200110210110100
4200110223010032301000
5242343024434341001
64420225322402400
7316322626521621
oct40245304166100
97770320423410
102221220621376
117870181519a9
122ba5a2360400
131315ca0c2833
1479716dd3a48
153cba442d586
hex2052b10ec40

2221220621376 has 63 divisors (see below), whose sum is σ = 6366830384551. Its totient is φ = 740394950784.

The previous prime is 2221220621303. The next prime is 2221220621377. The reversal of 2221220621376 is 6731260221222.

The square root of 2221220621376 is 1490376.

It is a perfect power (a square), and thus also a powerful number.

2221220621376 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 2 + 20 + 621 + 3 + 7 + 6 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2221220621376.

It is not an unprimeable number, because it can be changed into a prime (2221220621377) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35737975 + ... + 35800073.

Almost surely, 22221220621376 is an apocalyptic number.

2221220621376 is the 1490376-th square number.

It is an amenable number.

2221220621376 is an abundant number, since it is smaller than the sum of its proper divisors (4145609763175).

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

2221220621376 is an frugal number, since it uses more digits than its factorization.

2221220621376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124216 (or 62104 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 2221220621376 by its sum of digits (36), we get a square (79963942369536 = 89422562).

2221220621376 divided by its sum of digits (36) gives a square (61700572816 = 2483962).

Adding to 2221220621376 its reverse (6731260221222), we get a palindrome (8952480842598).

It can be divided in two parts, 2221220 and 621376, that added together give a square (2842596 = 16862).

The spelling of 2221220621376 in words is "two trillion, two hundred twenty-one billion, two hundred twenty million, six hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 62099 124198 186297 248396 372594 496792 558891 745188 993584 1117782 1490376 1987168 2235564 2980752 3974336 4471128 5961504 8942256 11923008 17884512 35769024 3856285801 7712571602 11568857403 15425143204 23137714806 30850286408 34706572209 46275429612 61700572816 69413144418 92550859224 123401145632 138826288836 185101718448 246802291264 277652577672 370203436896 555305155344 740406873792 1110610310688 2221220621376