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202121216 = 213112243
BaseRepresentation
bin11000000110000…
…10000000000000
3112002022211011222
430003002000000
5403220334331
632020054212
75003000453
oct1403020000
9462284158
10202121216
11a4101730
1257834368
1332b4a96b
141cbb549a
1512b27b7b
hexc0c2000

202121216 has 56 divisors (see below), whose sum is σ = 441161424. Its totient is φ = 91832320.

The previous prime is 202121203. The next prime is 202121219. The reversal of 202121216 is 612121202.

It is a junction number, because it is equal to n+sod(n) for n = 202121194 and 202121203.

It is not an unprimeable number, because it can be changed into a prime (202121219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88991 + ... + 91233.

Almost surely, 2202121216 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 202121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220580712).

202121216 is an abundant number, since it is smaller than the sum of its proper divisors (239040208).

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

202121216 is an equidigital number, since it uses as much as digits as its factorization.

202121216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 202121216 is about 14216.9341280038. The cubic root of 202121216 is about 586.8637721539.

Adding to 202121216 its reverse (612121202), we get a palindrome (814242418).

The spelling of 202121216 in words is "two hundred two million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2243 2816 4096 4486 5632 8192 8972 11264 17944 22528 24673 35888 45056 49346 71776 90112 98692 143552 197384 287104 394768 574208 789536 1148416 1579072 2296832 3158144 4593664 6316288 9187328 12632576 18374656 25265152 50530304 101060608 202121216