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220478623872 = 273131729101887
BaseRepresentation
bin1100110101010110001…
…1001101000010000000
3210002002112102120021020
43031111203031002000
512103020011430442
6245141514025440
721633444244533
oct3152543150200
9702075376236
10220478623872
1185560487441
1236891a18280
1317a38c062b0
14a957b96a1a
155b062349ec
hex33558cd080

220478623872 has 512 divisors, whose sum is σ = 698449651200. Its totient is φ = 60968140800.

The previous prime is 220478623867. The next prime is 220478623907. The reversal of 220478623872 is 278326874022.

It is a super-2 number, since 2×2204786238722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248566213 + ... + 248567099.

It is an arithmetic number, because the mean of its divisors is an integer number (1364159475).

Almost surely, 2220478623872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220478623872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349224825600).

220478623872 is an abundant number, since it is smaller than the sum of its proper divisors (477971027328).

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

220478623872 is a wasteful number, since it uses less digits than its factorization.

220478623872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

It can be divided in two parts, 220478 and 623872, that added together give a triangular number (844350 = T1299).

The spelling of 220478623872 in words is "two hundred twenty billion, four hundred seventy-eight million, six hundred twenty-three thousand, eight hundred seventy-two".