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102212552 = 231321923173
BaseRepresentation
bin1100001011110…
…10001111001000
321010022221021002
412011322033020
5202131300202
614050434132
72350535531
oct605721710
9233287232
10102212552
1152772892
122a292948
1318239900
14d809688
158e90302
hex617a3c8

102212552 has 96 divisors (see below), whose sum is σ = 229262400. Its totient is φ = 42501888.

The previous prime is 102212543. The next prime is 102212557. The reversal of 102212552 is 255212201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102212557) 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 23 ways as a sum of consecutive naturals, for example, 590738 + ... + 590910.

It is an arithmetic number, because the mean of its divisors is an integer number (2388150).

Almost surely, 2102212552 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 102212552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114631200).

102212552 is an abundant number, since it is smaller than the sum of its proper divisors (127049848).

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

102212552 is a wasteful number, since it uses less digits than its factorization.

102212552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 102212552 is about 10110.0223540801. The cubic root of 102212552 is about 467.5571943332.

Adding to 102212552 its reverse (255212201), we get a palindrome (357424753).

The spelling of 102212552 in words is "one hundred two million, two hundred twelve thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 169 173 184 247 299 338 346 437 494 598 676 692 874 988 1196 1352 1384 1748 1976 2249 2392 3211 3287 3496 3887 3979 4498 5681 6422 6574 7774 7958 8996 11362 12844 13148 15548 15916 17992 22724 25688 26296 29237 31096 31832 42731 45448 51727 58474 73853 75601 85462 103454 116948 147706 151202 170924 206908 233896 295412 302404 341848 413816 555503 590824 604808 672451 982813 1111006 1344902 1965626 2222012 2689804 3931252 4444024 5379608 7862504 12776569 25553138 51106276 102212552