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102122224 = 24291271733
BaseRepresentation
bin1100001011001…
…00001011110000
321010011100100121
412011210023300
5202120402344
614044500024
72350011301
oct605441360
9233140317
10102122224
1152710a36
122a24a614
1318207769
14d7c47a8
158e73684
hex61642f0

102122224 has 40 divisors (see below), whose sum is σ = 206415360. Its totient is φ = 48883968.

The previous prime is 102122221. The next prime is 102122227. The reversal of 102122224 is 422221201.

It is an interprime number because it is at equal distance from previous prime (102122221) and next prime (102122227).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102122198 and 102122207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58062 + ... + 59794.

It is an arithmetic number, because the mean of its divisors is an integer number (5160384).

Almost surely, 2102122224 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 102122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103207680).

102122224 is an abundant number, since it is smaller than the sum of its proper divisors (104293136).

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

102122224 is a wasteful number, since it uses less digits than its factorization.

102122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102122224 is about 10105.5541164253. The cubic root of 102122224 is about 467.4194227566.

Adding to 102122224 its reverse (422221201), we get a palindrome (524343425).

The spelling of 102122224 in words is "one hundred two million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 58 116 127 232 254 464 508 1016 1733 2032 3466 3683 6932 7366 13864 14732 27728 29464 50257 58928 100514 201028 220091 402056 440182 804112 880364 1760728 3521456 6382639 12765278 25530556 51061112 102122224