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332199220 = 225413241
BaseRepresentation
bin10011110011001…
…111010100110100
3212011002110122211
4103303033110310
51140020333340
652544103204
711142434563
oct2363172464
9764073584
10332199220
11160577211
1293304b04
1353a92ab2
1432195bda
151e26e5ea
hex13ccf534

332199220 has 48 divisors (see below), whose sum is σ = 718025616. Its totient is φ = 129100800.

The previous prime is 332199181. The next prime is 332199221. The reversal of 332199220 is 22991233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 283450896 + 48748324 = 16836^2 + 6982^2 .

It is a super-2 number, since 2×3321992202 = 220712643537216800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332199221) 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, 1378300 + ... + 1378540.

It is an arithmetic number, because the mean of its divisors is an integer number (14958867).

Almost surely, 2332199220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332199220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359012808).

332199220 is an abundant number, since it is smaller than the sum of its proper divisors (385826396).

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

332199220 is an equidigital number, since it uses as much as digits as its factorization.

332199220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 332199220 is about 18226.3331473997. Note that the first 3 decimals coincide. The cubic root of 332199220 is about 692.5740305847.

The spelling of 332199220 in words is "three hundred thirty-two million, one hundred ninety-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 241 410 482 820 964 1205 1681 2410 3362 4820 6724 8405 9881 16810 19762 33620 39524 49405 68921 98810 137842 197620 275684 344605 405121 689210 810242 1378420 1620484 2025605 4051210 8102420 16609961 33219922 66439844 83049805 166099610 332199220