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212506433400 = 23352354177389
BaseRepresentation
bin1100010111101001011…
…1101101011101111000
3202022111221100022212110
43011322113231131320
511440203121332100
6241342450212320
721232051610652
oct3057227553570
9668457308773
10212506433400
118213a383778
1235227b840a0
131706837c121
14a3dd08b6d2
1557db3ce250
hex317a5ed778

212506433400 has 48 divisors (see below), whose sum is σ = 658769945400. Its totient is φ = 56668382080.

The previous prime is 212506433357. The next prime is 212506433401. The reversal of 212506433400 is 4334605212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212506433401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177088095 + ... + 177089294.

Almost surely, 2212506433400 is an apocalyptic number.

212506433400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212506433400 is an abundant number, since it is smaller than the sum of its proper divisors (446263512000).

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

212506433400 is a wasteful number, since it uses less digits than its factorization.

212506433400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354177408 (or 354177399 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 212506433400 in words is "two hundred twelve billion, five hundred six million, four hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 354177389 708354778 1062532167 1416709556 1770886945 2125064334 2833419112 3541773890 4250128668 5312660835 7083547780 8500257336 8854434725 10625321670 14167095560 17708869450 21250643340 26563304175 35417738900 42501286680 53126608350 70835477800 106253216700 212506433400