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332122280072 = 23112185232
BaseRepresentation
bin1001101010101000000…
…01111101000010001000
31011202021011122221001212
410311110001331002020
520420141300430242
6412324101032252
732665204541552
oct4652401750210
91152234587055
10332122280072
11118941406800
125444b0b5688
132541bab2a1b
14121093964d2
15898c7a1782
hex4d5407d088

332122280072 has 36 divisors (see below), whose sum is σ = 684524505735. Its totient is φ = 150956522640.

The previous prime is 332122280051. The next prime is 332122280131. The reversal of 332122280072 is 270082221233.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 166061140036 + 166061140036 = 407506^2 + 407506^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=407506.

It is a super-2 number, since 2×3321222800722 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17921003 + ... + 17939525.

Almost surely, 2332122280072 is an apocalyptic number.

It is an amenable number.

332122280072 is an abundant number, since it is smaller than the sum of its proper divisors (352402225663).

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

332122280072 is an frugal number, since it uses more digits than its factorization.

332122280072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37074 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Multiplying 332122280072 by its sum of digits (32), we get a square (10627912962304 = 32600482).

The spelling of 332122280072 in words is "three hundred thirty-two billion, one hundred twenty-two million, two hundred eighty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 18523 37046 74092 148184 203753 407506 815012 1630024 2241283 4482566 8965132 17930264 343101529 686203058 1372406116 2744812232 3774116819 7548233638 15096467276 30192934552 41515285009 83030570018 166061140036 332122280072