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103225408 = 26111311279
BaseRepresentation
bin1100010011100…
…01100001000000
321012020101122021
412021301201000
5202411203113
614124251224
72362254466
oct611614100
9235211567
10103225408
11532a4860
122a6a0b14
1318502930
14d9d0836
1590e048d
hex6271840

103225408 has 56 divisors (see below), whose sum is σ = 240670080. Its totient is φ = 43307520.

The previous prime is 103225399. The next prime is 103225427. The reversal of 103225408 is 804522301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3513 + ... + 14791.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2103225408 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 103225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120335040).

103225408 is an abundant number, since it is smaller than the sum of its proper divisors (137444672).

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

103225408 is a wasteful number, since it uses less digits than its factorization.

103225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11315 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 103225408 is about 10159.9905511767. The cubic root of 103225408 is about 469.0965108872.

Adding to 103225408 its reverse (804522301), we get a palindrome (907747709).

The spelling of 103225408 in words is "one hundred three million, two hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 11279 22558 45116 90232 124069 146627 180464 248138 293254 360928 496276 586508 721856 992552 1173016 1612897 1985104 2346032 3225794 3970208 4692064 6451588 7940416 9384128 12903176 25806352 51612704 103225408