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4412225223315 = 3257131763380381
BaseRepresentation
bin100000000110100110100…
…0111011111101010010011
3120121210201120011202120200
41000031031013133222103
51034242214124121230
613214540455110243
7633526024410450
oct100151507375223
916553646152520
104412225223315
11145123a126208
125b3151372383
132600c0147610
141137a4dca827
1579b8acb2160
hex4034d1dfa93

4412225223315 has 96 divisors (see below), whose sum is σ = 9966438308736. Its totient is φ = 1752340746240.

The previous prime is 4412225223269. The next prime is 4412225223319. The reversal of 4412225223315 is 5133225222144.

4412225223315 is a `hidden beast` number, since 4 + 4 + 122 + 2 + 522 + 3 + 3 + 1 + 5 = 666.

4412225223315 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4412225223315 - 217 = 4412225092243 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4412225223315.

It is not an unprimeable number, because it can be changed into a prime (4412225223319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31620576 + ... + 31759805.

It is an arithmetic number, because the mean of its divisors is an integer number (103817065716).

Almost surely, 24412225223315 is an apocalyptic number.

4412225223315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4412225223315 is an abundant number, since it is smaller than the sum of its proper divisors (5554213085421).

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

4412225223315 is a wasteful number, since it uses less digits than its factorization.

4412225223315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63380429 (or 63380426 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 4412225223315 in words is "four trillion, four hundred twelve billion, two hundred twenty-five million, two hundred twenty-three thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 13 15 17 21 35 39 45 51 63 65 85 91 105 117 119 153 195 221 255 273 315 357 455 585 595 663 765 819 1071 1105 1365 1547 1785 1989 3315 4095 4641 5355 7735 9945 13923 23205 69615 63380381 190141143 316901905 443662667 570423429 823944953 950705715 1077466477 1330988001 2218313335 2471834859 2852117145 3232399431 3992964003 4119724765 5387332385 5767614671 6654940005 7415504577 7542265339 9697198293 12359174295 14007064201 16161997155 17302844013 19964820015 22626796017 28838073355 37077522885 37711326695 42021192603 48485991465 51908532039 67880388051 70035321005 86514220065 98049449407 113133980085 126063577809 210105963015 259542660195 294148348221 339401940255 490247247035 630317889045 882445044663 1470741741105 4412225223315