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75000222 = 23311314073
BaseRepresentation
bin1000111100001…
…10100110011110
312020010101222000
410132012212132
5123200001342
611235303130
71600330353
oct436064636
9166111860
1075000222
1139376860
122114aaa6
13126cc73b
149d6462a
1568b744c
hex478699e

75000222 has 64 divisors (see below), whose sum is σ = 187729920. Its totient is φ = 21988800.

The previous prime is 75000197. The next prime is 75000227. The reversal of 75000222 is 22200057.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 75000195 and 75000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16378 + ... + 20450.

It is an arithmetic number, because the mean of its divisors is an integer number (2933280).

Almost surely, 275000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93864960).

75000222 is an abundant number, since it is smaller than the sum of its proper divisors (112729698).

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

75000222 is a wasteful number, since it uses less digits than its factorization.

75000222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75000222 is about 8660.2668550109. The cubic root of 75000222 is about 421.7167487439.

Adding to 75000222 its reverse (22200057), we get a palindrome (97200279).

The spelling of 75000222 in words is "seventy-five million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 4073 6138 8146 9207 12219 18414 24438 36657 44803 73314 89606 109971 126263 134409 219942 252526 268818 378789 403227 757578 806454 1136367 1209681 1388893 2272734 2419362 2777786 3409101 4166679 6818202 8333358 12500037 25000074 37500111 75000222