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213202022220 = 2232511237436301
BaseRepresentation
bin1100011010001111010…
…1001010111101001100
3202101022102012220100100
43012203311022331030
511443114204202340
6241535455131100
721255226200465
oct3064365127514
9671272186310
10213202022220
1182466a8a970
12353a0b13a90
1317149505745
14a4675d7d6c
15582c4ce830
hex31a3d4af4c

213202022220 has 288 divisors, whose sum is σ = 737286810624. Its totient is φ = 49363776000.

The previous prime is 213202022213. The next prime is 213202022227. The reversal of 213202022220 is 22220202312.

It is an interprime number because it is at equal distance from previous prime (213202022213) and next prime (213202022227).

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 = 213202022193 and 213202022202.

It is not an unprimeable number, because it can be changed into a prime (213202022227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33833070 + ... + 33839370.

It is an arithmetic number, because the mean of its divisors is an integer number (2560023648).

Almost surely, 2213202022220 is an apocalyptic number.

213202022220 is a gapful number since it is divisible by the number (20) 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 213202022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368643405312).

213202022220 is an abundant number, since it is smaller than the sum of its proper divisors (524084788404).

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

213202022220 is a wasteful number, since it uses less digits than its factorization.

213202022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 213202022220 its reverse (22220202312), we get a palindrome (235422224532).

The spelling of 213202022220 in words is "two hundred thirteen billion, two hundred two million, twenty-two thousand, two hundred twenty".