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102012222 = 231323101563
BaseRepresentation
bin1100001010010…
…01010100111110
321002221202110110
412011021110332
5202103342342
614042250450
72346042504
oct605112476
9232852413
10102012222
1152646324
122a1b6a26
1318199680
14d796674
158e50c9c
hex614953e

102012222 has 64 divisors (see below), whose sum is σ = 231952896. Its totient is φ = 29673600.

The previous prime is 102012221. The next prime is 102012233. The reversal of 102012222 is 222210201.

It is a junction number, because it is equal to n+sod(n) for n = 102012198 and 102012207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180913 + ... + 181475.

It is an arithmetic number, because the mean of its divisors is an integer number (3624264).

Almost surely, 2102012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115976448).

102012222 is an abundant number, since it is smaller than the sum of its proper divisors (129940674).

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

102012222 is a wasteful number, since it uses less digits than its factorization.

102012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102012222 is about 10100.1099994010. The cubic root of 102012222 is about 467.2515339208.

Adding to 102012222 its reverse (222210201), we get a palindrome (324222423).

It can be divided in two parts, 10201 and 2222, that multiplied together give a palindrome (22666622).

The spelling of 102012222 in words is "one hundred two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 101 138 202 299 303 563 598 606 897 1126 1313 1689 1794 2323 2626 3378 3939 4646 6969 7319 7878 12949 13938 14638 21957 25898 30199 38847 43914 56863 60398 77694 90597 113726 168337 170589 181194 336674 341178 505011 739219 1010022 1307849 1478438 2217657 2615698 3923547 4435314 7847094 17002037 34004074 51006111 102012222