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102414222 = 23217477121
BaseRepresentation
bin1100001101010…
…11011110001110
321010201011220100
412012223132032
5202204223342
614055031530
72352335511
oct606533616
9233634810
10102414222
11528a0359
122a36b5a6
13182aa641
14d85cd78
158ecee4c
hex61ab78e

102414222 has 48 divisors (see below), whose sum is σ = 239982912. Its totient is φ = 31441920.

The previous prime is 102414217. The next prime is 102414223. The reversal of 102414222 is 222414201.

102414222 is a `hidden beast` number, since 1 + 0 + 241 + 422 + 2 = 666.

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 = 102414195 and 102414204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102414223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10822 + ... + 17942.

It is an arithmetic number, because the mean of its divisors is an integer number (4999644).

Almost surely, 2102414222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119991456).

102414222 is an abundant number, since it is smaller than the sum of its proper divisors (137568690).

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

102414222 is a wasteful number, since it uses less digits than its factorization.

102414222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102414222 is about 10119.9912055298. The cubic root of 102414222 is about 467.8644961636.

Adding to 102414222 its reverse (222414201), we get a palindrome (324828423).

The spelling of 102414222 in words is "one hundred two million, four hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 799 846 1598 2397 4794 7121 7191 14242 14382 21363 42726 64089 121057 128178 242114 334687 363171 669374 726342 1004061 1089513 2008122 2179026 3012183 5689679 6024366 11379358 17069037 34138074 51207111 102414222