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1022164440 = 23351121741101
BaseRepresentation
bin111100111011001…
…111110111011000
32122020101100000020
4330323033313120
54043133230230
6245232310440
734221153153
oct7473176730
92566340006
101022164440
11484a92300
122463a2420
131339ca83b
1499a7ac9a
155eb0d810
hex3cecfdd8

1022164440 has 384 divisors, whose sum is σ = 3692122560. Its totient is φ = 225280000.

The previous prime is 1022164433. The next prime is 1022164447. The reversal of 1022164440 is 444612201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1022164433) and next prime (1022164447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1022164440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022164447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10120390 + ... + 10120490.

Almost surely, 21022164440 is an apocalyptic number.

1022164440 is a gapful number since it is divisible by the number (10) 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 1022164440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846061280).

1022164440 is an abundant number, since it is smaller than the sum of its proper divisors (2669958120).

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

1022164440 is a wasteful number, since it uses less digits than its factorization.

1022164440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1022164440 is about 31971.3065106824. The cubic root of 1022164440 is about 1007.3342243156.

Adding to 1022164440 its reverse (444612201), we get a palindrome (1466776641).

The spelling of 1022164440 in words is "one billion, twenty-two million, one hundred sixty-four thousand, four hundred forty".