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1023422112 = 25327694621
BaseRepresentation
bin111101000000000…
…010111010100000
32122022202020012200
4331000002322200
54043444001422
6245315253200
734234641636
oct7500027240
92568666180
101023422112
114857711a9
122468aa200
1313404b11b
1499cc7356
155ecab2ac
hex3d002ea0

1023422112 has 72 divisors (see below), whose sum is σ = 2914771860. Its totient is φ = 340623360.

The previous prime is 1023422089. The next prime is 1023422131. The reversal of 1023422112 is 2112243201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1008951696 + 14470416 = 31764^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219162 + ... + 223782.

Almost surely, 21023422112 is an apocalyptic number.

1023422112 is a gapful number since it is divisible by the number (12) 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 1023422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457385930).

1023422112 is an abundant number, since it is smaller than the sum of its proper divisors (1891349748).

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

1023422112 is a wasteful number, since it uses less digits than its factorization.

1023422112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1023422112 is about 31990.9692257049. The cubic root of 1023422112 is about 1007.7471966181.

Adding to 1023422112 its reverse (2112243201), we get a palindrome (3135665313).

The spelling of 1023422112 in words is "one billion, twenty-three million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 769 1538 2307 3076 4614 4621 6152 6921 9228 9242 12304 13842 13863 18456 18484 24608 27684 27726 36912 36968 41589 55368 55452 73824 73936 83178 110736 110904 147872 166356 221472 221808 332712 443616 665424 1330848 3553549 7107098 10660647 14214196 21321294 28428392 31981941 42642588 56856784 63963882 85285176 113713568 127927764 170570352 255855528 341140704 511711056 1023422112