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2190220032 = 283721121337
BaseRepresentation
bin1000001010001100…
…0001101100000000
312122122021201001110
42002203001230000
513441144020112
61001200003320
7105163364100
oct20243015400
95578251043
102190220032
11a2435a800
12511600540
1328b9b8cb0
1416ac53200
15cc43913c
hex828c1b00

2190220032 has 648 divisors, whose sum is σ = 8243640048. Its totient is φ = 510935040.

The previous prime is 2190220013. The next prime is 2190220051. The reversal of 2190220032 is 2300220912.

It is an interprime number because it is at equal distance from previous prime (2190220013) and next prime (2190220051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2190219990 and 2190220008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59195118 + ... + 59195154.

Almost surely, 22190220032 is an apocalyptic number.

2190220032 is a gapful number since it is divisible by the number (22) 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 2190220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121820024).

2190220032 is an abundant number, since it is smaller than the sum of its proper divisors (6053420016).

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

2190220032 is a wasteful number, since it uses less digits than its factorization.

2190220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2190220032 is about 46799.7866661804. The cubic root of 2190220032 is about 1298.6613502297.

Adding to 2190220032 its reverse (2300220912), we get a palindrome (4490440944).

It can be divided in two parts, 2190 and 220032, that added together give a palindrome (222222).

The spelling of 2190220032 in words is "two billion, one hundred ninety million, two hundred twenty thousand, thirty-two".