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45221202 = 232131491297
BaseRepresentation
bin1010110010000…
…0010101010010
310011002110211100
42230200111102
543034034302
64253125230
71056242145
oct254402522
9104073740
1045221202
11235873a4
1213189816
1394a4210
14601205c
153e83d1c
hex2b20552

45221202 has 48 divisors (see below), whose sum is σ = 106306200. Its totient is φ = 13810176.

The previous prime is 45221201. The next prime is 45221213. The reversal of 45221202 is 20212254.

45221202 is a `hidden beast` number, since 452 + 212 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36978561 + 8242641 = 6081^2 + 2871^2 .

It is a super-2 number, since 2×452212022 = 4089914220649608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34218 + ... + 35514.

Almost surely, 245221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53153100).

45221202 is an abundant number, since it is smaller than the sum of its proper divisors (61084998).

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

45221202 is a wasteful number, since it uses less digits than its factorization.

45221202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45221202 is about 6724.6711443758. The cubic root of 45221202 is about 356.2711869209.

Adding to 45221202 its reverse (20212254), we get a palindrome (65433456).

The spelling of 45221202 in words is "forty-five million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1297 1341 1937 2594 2682 3874 3891 5811 7782 11622 11673 16861 17433 23346 33722 34866 50583 101166 151749 193253 303498 386506 579759 1159518 1739277 2512289 3478554 5024578 7536867 15073734 22610601 45221202