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103022416 = 2476713729
BaseRepresentation
bin1100010001111…
…11111101010000
321011212002012001
412020333331100
5202333204131
614120043344
72360450620
oct610777520
9234762161
10103022416
11531762a2
122a603554
1318461413
14d97a880
1590a0261
hex623ff50

103022416 has 40 divisors (see below), whose sum is σ = 231542720. Its totient is φ = 43490304.

The previous prime is 103022411. The next prime is 103022429. The reversal of 103022416 is 614220301.

It is a super-2 number, since 2×1030224162 = 21227236396954112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022393 and 103022402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640 + ... + 14368.

It is an arithmetic number, because the mean of its divisors is an integer number (5788568).

Almost surely, 2103022416 is an apocalyptic number.

103022416 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 103022416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115771360).

103022416 is an abundant number, since it is smaller than the sum of its proper divisors (128520304).

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

103022416 is a wasteful number, since it uses less digits than its factorization.

103022416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13811 (or 13805 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 103022416 is about 10149.9958620681. The cubic root of 103022416 is about 468.7888175024.

Adding to 103022416 its reverse (614220301), we get a palindrome (717242717).

The spelling of 103022416 in words is "one hundred three million, twenty-two thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 268 469 536 938 1072 1876 3752 7504 13729 27458 54916 96103 109832 192206 219664 384412 768824 919843 1537648 1839686 3679372 6438901 7358744 12877802 14717488 25755604 51511208 103022416