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102212404 = 22747101769
BaseRepresentation
bin1100001011110…
…10001100110100
321010022221001121
412011322030310
5202131244104
614050433324
72350535230
oct605721464
9233287047
10102212404
1152772768
122a292844
1318239818
14d8095c0
158e90254
hex617a334

102212404 has 48 divisors (see below), whose sum is σ = 211115520. Its totient is φ = 42393600.

The previous prime is 102212387. The next prime is 102212417. The reversal of 102212404 is 404212201.

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 15 ways as a sum of consecutive naturals, for example, 132532 + ... + 133300.

It is an arithmetic number, because the mean of its divisors is an integer number (4398240).

Almost surely, 2102212404 is an apocalyptic number.

102212404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105557760).

102212404 is an abundant number, since it is smaller than the sum of its proper divisors (108903116).

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

102212404 is a wasteful number, since it uses less digits than its factorization.

102212404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102212404 is about 10110.0150346080. The cubic root of 102212404 is about 467.5569686646.

Adding to 102212404 its reverse (404212201), we get a palindrome (506424605).

The spelling of 102212404 in words is "one hundred two million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 4 7 14 28 47 94 101 188 202 329 404 658 707 769 1316 1414 1538 2828 3076 4747 5383 9494 10766 18988 21532 33229 36143 66458 72286 77669 132916 144572 155338 253001 310676 506002 543683 1012004 1087366 2174732 3650443 7300886 14601772 25553101 51106202 102212404