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2221201022004 = 223261700028389
BaseRepresentation
bin100000010100101001111…
…001011101110000110100
321212100022022121001011200
4200110221321131300310
5242343004430201004
64420223342332500
7316322301111606
oct40245171356064
97770268531150
102221201022004
11787008085678
122ba59788a130
131315c601c883
1479714571176
153cba285b239
hex20529e5dc34

2221201022004 has 18 divisors (see below), whose sum is σ = 5614702583490. Its totient is φ = 740400340656.

The previous prime is 2221201021973. The next prime is 2221201022023. The reversal of 2221201022004 is 4002201021222.

It can be written as a sum of positive squares in only one way, i.e., 1945941300900 + 275259721104 = 1394970^2 + 524652^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×22212010220042 (a number of 25 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 30850014159 + ... + 30850014230.

It is an arithmetic number, because the mean of its divisors is an integer number (311927921305).

Almost surely, 22221201022004 is an apocalyptic number.

It is an amenable number.

2221201022004 is an abundant number, since it is smaller than the sum of its proper divisors (3393501561486).

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

2221201022004 is a wasteful number, since it uses less digits than its factorization.

2221201022004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61700028399 (or 61700028394 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2221201022004 its reverse (4002201021222), we get a palindrome (6223402043226).

The spelling of 2221201022004 in words is "two trillion, two hundred twenty-one billion, two hundred one million, twenty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 61700028389 123400056778 185100085167 246800113556 370200170334 555300255501 740400340668 1110600511002 2221201022004