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21232266223212 = 223211231208175557
BaseRepresentation
bin1001101001111100001011…
…01011111001111001101100
32210011210012010202120211100
410310332011223321321230
510240332140123120322
6113053545103523100
74320660231056352
oct464760553717154
983153163676740
1021232266223212
11684660a839200
12246ab56bb9490
13bb026a6108c5
1453590bb897d2
1526c4775e8dac
hex134f85af9e6c

21232266223212 has 216 divisors, whose sum is σ = 60926213851776. Its totient is φ = 6223396608000.

The previous prime is 21232266223211. The next prime is 21232266223213.

21232266223212 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 2 + 2 + 6 + 622 + 3 + 21 + 2 = 666.

21232266223212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21232266223211) and next prime (21232266223213).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21232266223211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280972138 + ... + 281047694.

Almost surely, 221232266223212 is an apocalyptic number.

21232266223212 is a gapful number since it is divisible by the number (22) 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 21232266223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30463106925888).

21232266223212 is an abundant number, since it is smaller than the sum of its proper divisors (39693947628564).

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

21232266223212 is a wasteful number, since it uses less digits than its factorization.

21232266223212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77701 (or 77685 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 2123226 and 6223212, that added together give a palindrome (8346438).

The spelling of 21232266223212 in words is "twenty-one trillion, two hundred thirty-two billion, two hundred sixty-six million, two hundred twenty-three thousand, two hundred twelve".