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29222130 = 23572103193
BaseRepresentation
bin110111101111…
…0010011110010
32000222122020010
41233132103302
524440102010
62522155350
7503245500
oct157362362
960878203
1029222130
111554a023
129952b56
136091c02
143c49670
152873620
hex1bde4f2

29222130 has 96 divisors (see below), whose sum is σ = 82802304. Its totient is φ = 6580224.

The previous prime is 29222129. The next prime is 29222131. The reversal of 29222130 is 3122292.

It is an interprime number because it is at equal distance from previous prime (29222129) and next prime (29222131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 29222097 and 29222106.

It is not an unprimeable number, because it can be changed into a prime (29222131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151314 + ... + 151506.

It is an arithmetic number, because the mean of its divisors is an integer number (862524).

Almost surely, 229222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41401152).

29222130 is an abundant number, since it is smaller than the sum of its proper divisors (53580174).

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

29222130 is a wasteful number, since it uses less digits than its factorization.

29222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 29222130 is about 5405.7497167368. The cubic root of 29222130 is about 308.0141178102.

It can be divided in two parts, 292 and 22130, that added together give a palindrome (22422).

The spelling of 29222130 in words is "twenty-nine million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 103 105 147 193 206 210 245 294 309 386 490 515 579 618 721 735 965 1030 1158 1351 1442 1470 1545 1930 2163 2702 2895 3090 3605 4053 4326 5047 5790 6755 7210 8106 9457 10094 10815 13510 15141 18914 19879 20265 21630 25235 28371 30282 39758 40530 47285 50470 56742 59637 75705 94570 99395 119274 139153 141855 151410 198790 278306 283710 298185 417459 596370 695765 834918 974071 1391530 1948142 2087295 2922213 4174590 4870355 5844426 9740710 14611065 29222130