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10222203132 = 22336771101197
BaseRepresentation
bin10011000010100101…
…00111000011111100
3222101101212201112000
421201102213003330
5131413341000012
64410201142300
7511213202331
oct114122470374
928341781460
1010222203132
114376192569
121b9348a990
13c6ba4990b
146cd884988
153ec650ddc
hex2614a70fc

10222203132 has 192 divisors, whose sum is σ = 27686292480. Its totient is φ = 3259872000.

The previous prime is 10222203113. The next prime is 10222203137. The reversal of 10222203132 is 23130222201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222203137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51889258 + ... + 51889454.

It is an arithmetic number, because the mean of its divisors is an integer number (144199440).

Almost surely, 210222203132 is an apocalyptic number.

10222203132 is a gapful number since it is divisible by the number (12) 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 10222203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13843146240).

10222203132 is an abundant number, since it is smaller than the sum of its proper divisors (17464089348).

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

10222203132 is a wasteful number, since it uses less digits than its factorization.

10222203132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222203132 its reverse (23130222201), we get a palindrome (33352425333).

The spelling of 10222203132 in words is "ten billion, two hundred twenty-two million, two hundred three thousand, one hundred thirty-two".