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1332210220 = 2251140115101
BaseRepresentation
bin100111101100111…
…1110101000101100
310102211210021212021
41033121332220230
510212021211340
6340105515524
745004412545
oct11731765054
93384707767
101332210220
11623aa8290
123121a2ba4
13183004c93
14c8d074cc
157be53e4a
hex4f67ea2c

1332210220 has 48 divisors (see below), whose sum is σ = 3059786016. Its totient is φ = 483200000.

The previous prime is 1332210211. The next prime is 1332210221. The reversal of 1332210220 is 220122331.

It is a junction number, because it is equal to n+sod(n) for n = 1332210194 and 1332210203.

It is not an unprimeable number, because it can be changed into a prime (1332210221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80670 + ... + 95770.

It is an arithmetic number, because the mean of its divisors is an integer number (63745542).

Almost surely, 21332210220 is an apocalyptic number.

1332210220 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 1332210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529893008).

1332210220 is an abundant number, since it is smaller than the sum of its proper divisors (1727575796).

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

1332210220 is a wasteful number, since it uses less digits than its factorization.

1332210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522 (or 15520 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1332210220 is about 36499.4550644253. The cubic root of 1332210220 is about 1100.3332929436. Note that the first 3 decimals are identical.

Adding to 1332210220 its reverse (220122331), we get a palindrome (1552332551).

The spelling of 1332210220 in words is "one billion, three hundred thirty-two million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 401 802 1604 2005 4010 4411 8020 8822 15101 17644 22055 30202 44110 60404 75505 88220 151010 166111 302020 332222 664444 830555 1661110 3322220 6055501 12111002 24222004 30277505 60555010 66610511 121110020 133221022 266442044 333052555 666105110 1332210220