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134224002 = 23211798581
BaseRepresentation
bin10000000000000…
…01100010000010
3100100120021201100
420000001202002
5233330132002
621152515230
73216612423
oct1000014202
9310507640
10134224002
1169847530
1238b4bb16
1321a672b3
1413b7d64a
15bbb511c
hex8001882

134224002 has 48 divisors (see below), whose sum is σ = 321310080. Its totient is φ = 40154400.

The previous prime is 134224001. The next prime is 134224003. The reversal of 134224002 is 200422431.

It is an interprime number because it is at equal distance from previous prime (134224001) and next prime (134224003).

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

It is not an unprimeable number, because it can be changed into a prime (134224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11352 + ... + 19932.

It is an arithmetic number, because the mean of its divisors is an integer number (6693960).

Almost surely, 2134224002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160655040).

134224002 is an abundant number, since it is smaller than the sum of its proper divisors (187086078).

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

134224002 is a wasteful number, since it uses less digits than its factorization.

134224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 134224002 is about 11585.5082754275. The cubic root of 134224002 is about 512.0079776792.

Adding to 134224002 its reverse (200422431), we get a palindrome (334646433).

It can be divided in two parts, 13422 and 4002, that added together give a square (17424 = 1322).

The spelling of 134224002 in words is "one hundred thirty-four million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 8581 15642 17162 25743 51486 77229 94391 154458 188782 283173 566346 677899 849519 1355798 1699038 2033697 4067394 6101091 7456889 12202182 14913778 22370667 44741334 67112001 134224002