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103225356 = 223213367601
BaseRepresentation
bin1100010011100…
…01100000001100
321012020101120100
412021301200030
5202411202411
614124251100
72362254363
oct611614014
9235211510
10103225356
11532a4813
122a6a0a90
13185028c0
14d9d07da
1590e0456
hex627180c

103225356 has 72 divisors (see below), whose sum is σ = 282236864. Its totient is φ = 31622400.

The previous prime is 103225351. The next prime is 103225391. The reversal of 103225356 is 653522301.

103225356 is a `hidden beast` number, since 103 + 22 + 535 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103225351) 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, 171456 + ... + 172056.

Almost surely, 2103225356 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 103225356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141118432).

103225356 is an abundant number, since it is smaller than the sum of its proper divisors (179011508).

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

103225356 is a wasteful number, since it uses less digits than its factorization.

103225356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 103225356 is about 10159.9879921189. The cubic root of 103225356 is about 469.0964321178.

Adding to 103225356 its reverse (653522301), we get a palindrome (756747657).

The spelling of 103225356 in words is "one hundred three million, two hundred twenty-five thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 367 468 601 734 1101 1202 1468 1803 2202 2404 3303 3606 4404 4771 5409 6606 7212 7813 9542 10818 13212 14313 15626 19084 21636 23439 28626 31252 42939 46878 57252 70317 85878 93756 140634 171756 220567 281268 441134 661701 882268 1323402 1985103 2646804 2867371 3970206 5734742 7940412 8602113 11469484 17204226 25806339 34408452 51612678 103225356