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29422116 = 2234711279
BaseRepresentation
bin111000000111…
…1001000100100
32001100210120000
41300033020210
530013001431
62530341300
7505040523
oct160171044
961323500
1029422116
11156762a9
129a2a830
136131c49
143c9c4ba
1528b29e6
hex1c0f224

29422116 has 60 divisors (see below), whose sum is σ = 78059520. Its totient is φ = 9661680.

The previous prime is 29422103. The next prime is 29422163. The reversal of 29422116 is 61122492.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 29422116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22365 + ... + 23643.

It is an arithmetic number, because the mean of its divisors is an integer number (1300992).

Almost surely, 229422116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29422116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

29422116 is an abundant number, since it is smaller than the sum of its proper divisors (48637404).

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

29422116 is a wasteful number, since it uses less digits than its factorization.

29422116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1355 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 29422116 is about 5424.2157036755. The cubic root of 29422116 is about 308.7151678211.

The spelling of 29422116 in words is "twenty-nine million, four hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 324 426 639 852 1278 1279 1917 2556 2558 3834 3837 5116 5751 7668 7674 11502 11511 15348 23004 23022 34533 46044 69066 90809 103599 138132 181618 207198 272427 363236 414396 544854 817281 1089708 1634562 2451843 3269124 4903686 7355529 9807372 14711058 29422116