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1098220032 = 293571397
BaseRepresentation
bin100000101110101…
…1000001000000000
32211112111100200000
41001131120020000
54222121020112
6300550400000
736133500450
oct10135301000
92745440600
101098220032
11513a09a68
12267960000
131466a9750
14a5bd7d60
15666337dc
hex41758200

1098220032 has 480 divisors, whose sum is σ = 4087155072. Its totient is φ = 286654464.

The previous prime is 1098219949. The next prime is 1098220033. The reversal of 1098220032 is 2300228901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1098219978 and 1098220005.

It is not an unprimeable number, because it can be changed into a prime (1098220033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11321808 + ... + 11321904.

Almost surely, 21098220032 is an apocalyptic number.

1098220032 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 1098220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043577536).

1098220032 is an abundant number, since it is smaller than the sum of its proper divisors (2988935040).

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

1098220032 is an frugal number, since it uses more digits than its factorization.

1098220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1098220032 is about 33139.4030121244. The cubic root of 1098220032 is about 1031.7230192313.

Adding to 1098220032 its reverse (2300228901), we get a palindrome (3398448933).

The spelling of 1098220032 in words is "one billion, ninety-eight million, two hundred twenty thousand, thirty-two".