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102204774 = 23371272129
BaseRepresentation
bin1100001011110…
…00010101100110
321010022112121000
412011320111212
5202131023044
614050334130
72350504050
oct605702546
9233275530
10102204774
1152767a61
122a28a346
13182361c9
14d8068d0
158e8cd69
hex6178566

102204774 has 64 divisors (see below), whose sum is σ = 261734400. Its totient is φ = 28957824.

The previous prime is 102204769. The next prime is 102204779. The reversal of 102204774 is 477402201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102204769) and next prime (102204779).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102204779) 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, 46942 + ... + 49070.

It is an arithmetic number, because the mean of its divisors is an integer number (4089600).

Almost surely, 2102204774 is an apocalyptic number.

102204774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102204774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130867200).

102204774 is an abundant number, since it is smaller than the sum of its proper divisors (159529626).

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

102204774 is a wasteful number, since it uses less digits than its factorization.

102204774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102204774 is about 10109.6376789675. The cubic root of 102204774 is about 467.5453342370.

Adding to 102204774 its reverse (477402201), we get a palindrome (579606975).

It can be divided in two parts, 1022047 and 74, that added together give a square (1022121 = 10112).

The spelling of 102204774 in words is "one hundred two million, two hundred four thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 127 189 254 378 381 762 889 1143 1778 2129 2286 2667 3429 4258 5334 6387 6858 8001 12774 14903 16002 19161 24003 29806 38322 44709 48006 57483 89418 114966 134127 268254 270383 402381 540766 804762 811149 1622298 1892681 2433447 3785362 4866894 5678043 7300341 11356086 14600682 17034129 34068258 51102387 102204774