Search a number
-
+
29706222040 = 2351167514141
BaseRepresentation
bin11011101010101000…
…001111100111011000
32211200021111102202221
4123222220033213120
5441314243101130
621351415233424
72101101502225
oct335250174730
984607442687
1029706222040
111166442a330
125910678874
132a555653a1
14161b41494c
15b8ce4887a
hex6eaa0f9d8

29706222040 has 32 divisors (see below), whose sum is σ = 72915273360. Its totient is φ = 10802262400.

The previous prime is 29706222017. The next prime is 29706222047. The reversal of 29706222040 is 4022260792.

It is a junction number, because it is equal to n+sod(n) for n = 29706221987 and 29706222005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29706222047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33756631 + ... + 33757510.

Almost surely, 229706222040 is an apocalyptic number.

29706222040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29706222040 is an abundant number, since it is smaller than the sum of its proper divisors (43209051320).

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

29706222040 is a wasteful number, since it uses less digits than its factorization.

29706222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67514163 (or 67514159 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 29706222040 in words is "twenty-nine billion, seven hundred six million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 67514141 135028282 270056564 337570705 540113128 675141410 742655551 1350282820 1485311102 2700565640 2970622204 3713277755 5941244408 7426555510 14853111020 29706222040