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4022224320100 = 225277972734617
BaseRepresentation
bin111010100001111111010…
…000000111011001100100
3112020112001201200010201211
4322201333100013121210
51011400003411220400
612315441230201204
7563411316420220
oct72417720073144
915215051603654
104022224320100
1113108a7851268
1254b64a953204
132323a926b5bc
14dc968bd3780
156e962148dba
hex3a87f407664

4022224320100 has 72 divisors (see below), whose sum is σ = 10101383747840. Its totient is φ = 1361592011520.

The previous prime is 4022224320073. The next prime is 4022224320113. The reversal of 4022224320100 is 10234222204.

4022224320100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40222243201003 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36312009 + ... + 36422608.

Almost surely, 24022224320100 is an apocalyptic number.

It is an amenable number.

4022224320100 is an abundant number, since it is smaller than the sum of its proper divisors (6079159427740).

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

4022224320100 is a wasteful number, since it uses less digits than its factorization.

4022224320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72734717 (or 72734710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4022224320100 its reverse (10234222204), we get a palindrome (4032458542304).

The spelling of 4022224320100 in words is "four trillion, twenty-two billion, two hundred twenty-four million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 79 100 140 158 175 316 350 395 553 700 790 1106 1580 1975 2212 2765 3950 5530 7900 11060 13825 27650 55300 72734617 145469234 290938468 363673085 509142319 727346170 1018284638 1454692340 1818365425 2036569276 2545711595 3636730850 5091423190 5746034743 7273461700 10182846380 11492069486 12728557975 22984138972 25457115950 28730173715 40222243201 50914231900 57460347430 80444486402 114920694860 143650868575 160888972804 201111216005 287301737150 402222432010 574603474300 804444864020 1005556080025 2011112160050 4022224320100