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55122000 = 243539187
BaseRepresentation
bin1101001001000…
…1100001010000
310211201111011120
43102101201100
5103102401000
65245242240
71236346353
oct322214120
9124644146
1055122000
1129129a7a
1216563380
13b55c88b
14746c29a
154c8c6a0
hex3491850

55122000 has 80 divisors (see below), whose sum is σ = 177732672. Its totient is φ = 14697600.

The previous prime is 55121993. The next prime is 55122019. The reversal of 55122000 is 22155.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 10593.

Almost surely, 255122000 is an apocalyptic number.

55122000 is a gapful number since it is divisible by the number (50) 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 55122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88866336).

55122000 is an abundant number, since it is smaller than the sum of its proper divisors (122610672).

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

55122000 is a wasteful number, since it uses less digits than its factorization.

55122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9213 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 55122000 is about 7424.4191692010. The cubic root of 55122000 is about 380.5762264234.

Adding to 55122000 its reverse (22155), we get a palindrome (55144155).

The spelling of 55122000 in words is "fifty-five million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 9187 18374 27561 36748 45935 55122 73496 91870 110244 137805 146992 183740 220488 229675 275610 367480 440976 459350 551220 689025 734960 918700 1102440 1148375 1378050 1837400 2204880 2296750 2756100 3445125 3674800 4593500 5512200 6890250 9187000 11024400 13780500 18374000 27561000 55122000