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1022413032 = 233267211943
BaseRepresentation
bin111100111100001…
…100100011101000
32122020211222000100
4330330030203220
54043214204112
6245241505400
734223240004
oct7474144350
92566758010
101022413032
11485142053
122464a2260
13133a86a34
1499b03704
155eb5c2dc
hex3cf0c8e8

1022413032 has 48 divisors (see below), whose sum is σ = 2810377440. Its totient is φ = 335716128.

The previous prime is 1022413027. The next prime is 1022413033. The reversal of 1022413032 is 2303142201.

1022413032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022412996 and 1022413014.

It is not an unprimeable number, because it can be changed into a prime (1022413033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101148 + ... + 110795.

It is an arithmetic number, because the mean of its divisors is an integer number (58549530).

Almost surely, 21022413032 is an apocalyptic number.

1022413032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022413032 is an abundant number, since it is smaller than the sum of its proper divisors (1787964408).

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

1022413032 is a wasteful number, since it uses less digits than its factorization.

1022413032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212022 (or 212015 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1022413032 is about 31975.1940103575. The cubic root of 1022413032 is about 1007.4158794525.

Adding to 1022413032 its reverse (2303142201), we get a palindrome (3325555233).

The spelling of 1022413032 in words is "one billion, twenty-two million, four hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4824 211943 423886 635829 847772 1271658 1695544 1907487 2543316 3814974 5086632 7629948 14200181 15259896 28400362 42600543 56800724 85201086 113601448 127801629 170402172 255603258 340804344 511206516 1022413032