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422107701224 = 231143263424147
BaseRepresentation
bin1100010010001111001…
…01000101111111101000
31111100112102002221202212
412021013211011333220
523403434032414344
6521525200544252
742332136155306
oct6110745057750
91440472087685
10422107701224
1115301887a560
1269983022088
1330a5c89c261
141660437b276
15aea76ed79e
hex6247945fe8

422107701224 has 64 divisors (see below), whose sum is σ = 886842570240. Its totient is φ = 186692103360.

The previous prime is 422107701199. The next prime is 422107701233.

422107701224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4221077012242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783119 + ... + 1207265.

It is an arithmetic number, because the mean of its divisors is an integer number (13856915160).

Almost surely, 2422107701224 is an apocalyptic number.

422107701224 is a gapful number since it is divisible by the number (44) 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 422107701224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443421285120).

422107701224 is an abundant number, since it is smaller than the sum of its proper divisors (464734869016).

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

422107701224 is a wasteful number, since it uses less digits than its factorization.

422107701224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424470 (or 424466 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The spelling of 422107701224 in words is "four hundred twenty-two billion, one hundred seven million, seven hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 263 344 473 526 946 1052 1892 2104 2893 3784 5786 11309 11572 22618 23144 45236 90472 124399 248798 424147 497596 848294 995192 1696588 3393176 4665617 9331234 18238321 18662468 36476642 37324936 72953284 111550661 145906568 200621531 223101322 401243062 446202644 802486124 892405288 1227057271 1604972248 2454114542 4796678423 4908229084 9593356846 9816458168 19186713692 38373427384 52763462653 105526925306 211053850612 422107701224