Search a number
-
+
102221334 = 23247120829
BaseRepresentation
bin1100001011111…
…00011000010110
321010100101022100
412011330120112
5202132040314
614050542530
72350603245
oct605743026
9233311270
10102221334
1152779446
122a297a46
13182408c7
14d80c95c
158e92c09
hex617c616

102221334 has 24 divisors (see below), whose sum is σ = 226193760. Its totient is φ = 33348528.

The previous prime is 102221321. The next prime is 102221377. The reversal of 102221334 is 433122201.

It is a super-2 number, since 2×1022213342 = 20898402249479112, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59569 + ... + 61260.

It is an arithmetic number, because the mean of its divisors is an integer number (9424740).

Almost surely, 2102221334 is an apocalyptic number.

102221334 is an abundant number, since it is smaller than the sum of its proper divisors (123972426).

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

102221334 is a wasteful number, since it uses less digits than its factorization.

102221334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120884 (or 120881 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102221334 is about 10110.4566662441. The cubic root of 102221334 is about 467.5705846315.

Adding to 102221334 its reverse (433122201), we get a palindrome (535343535).

The spelling of 102221334 in words is "one hundred two million, two hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 47 94 141 282 423 846 120829 241658 362487 724974 1087461 2174922 5678963 11357926 17036889 34073778 51110667 102221334