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103225056 = 25311239409
BaseRepresentation
bin1100010011100…
…01011011100000
321012020101011020
412021301123200
5202411200211
614124245440
72362253454
oct611613340
9235211136
10103225056
11532a4570
122a6a0880
131850271c
14d9d0664
1590e0306
hex62716e0

103225056 has 96 divisors (see below), whose sum is σ = 297561600. Its totient is φ = 31073280.

The previous prime is 103225051. The next prime is 103225061. The reversal of 103225056 is 650522301.

It is an interprime number because it is at equal distance from previous prime (103225051) and next prime (103225061).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103225051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252180 + ... + 252588.

It is an arithmetic number, because the mean of its divisors is an integer number (3099600).

Almost surely, 2103225056 is an apocalyptic number.

103225056 is a gapful number since it is divisible by the number (16) 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 103225056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148780800).

103225056 is an abundant number, since it is smaller than the sum of its proper divisors (194336544).

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

103225056 is a wasteful number, since it uses less digits than its factorization.

103225056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 103225056 is about 10159.9732283112. The cubic root of 103225056 is about 469.0959776782.

Adding to 103225056 its reverse (650522301), we get a palindrome (753747357).

The spelling of 103225056 in words is "one hundred three million, two hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 239 264 352 409 478 528 717 818 956 1056 1227 1434 1636 1912 2454 2629 2868 3272 3824 4499 4908 5258 5736 6544 7648 7887 8998 9816 10516 11472 13088 13497 15774 17996 19632 21032 22944 26994 31548 35992 39264 42064 53988 63096 71984 84128 97751 107976 126192 143968 195502 215952 252384 293253 391004 431904 586506 782008 1075261 1173012 1564016 2150522 2346024 3128032 3225783 4301044 4692048 6451566 8602088 9384096 12903132 17204176 25806264 34408352 51612528 103225056