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1332223020 = 2232517232823
BaseRepresentation
bin100111101101000…
…0001110000101100
310102211210221102100
41033122001300230
510212022114040
6340110055100
745004465062
oct11732016054
93384727370
101332223020
11624006967
123121aa490
1318300aa5b
14c8d0c032
157be57b30
hex4f681c2c

1332223020 has 216 divisors, whose sum is σ = 4478344416. Its totient is φ = 319435776.

The previous prime is 1332223007. The next prime is 1332223031. The reversal of 1332223020 is 203222331.

It is a happy number.

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 = 1332222984 and 1332223002.

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, 1618329 + ... + 1619151.

It is an arithmetic number, because the mean of its divisors is an integer number (20733076).

Almost surely, 21332223020 is an apocalyptic number.

1332223020 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 1332223020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239172208).

1332223020 is an abundant number, since it is smaller than the sum of its proper divisors (3146121396).

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

1332223020 is a wasteful number, since it uses less digits than its factorization.

1332223020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1332223020 is about 36499.6304090877. The cubic root of 1332223020 is about 1100.3368169672.

Adding to 1332223020 its reverse (203222331), we get a palindrome (1535445351).

The spelling of 1332223020 in words is "one billion, three hundred thirty-two million, two hundred twenty-three thousand, twenty".