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1029221154 = 2361324177
BaseRepresentation
bin111101010110001…
…010101100100010
32122201122212000000
4331112022230202
54101440034104
6250043440430
734335143523
oct7526125442
92581585000
101029221154
11488a720a5
12248826116
131352cb800
149a99684a
1560554639
hex3d58ab22

1029221154 has 84 divisors (see below), whose sum is σ = 2507038146. Its totient is φ = 316607616.

The previous prime is 1029221153. The next prime is 1029221159. The reversal of 1029221154 is 4511229201.

1029221154 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 765905625 + 263315529 = 27675^2 + 16227^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029221153) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 244314 + ... + 248490.

Almost surely, 21029221154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029221154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253519073).

1029221154 is an abundant number, since it is smaller than the sum of its proper divisors (1477816992).

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

1029221154 is an equidigital number, since it uses as much as digits as its factorization.

1029221154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1029221154 is about 32081.4768051597. The cubic root of 1029221154 is about 1009.6470203975.

The spelling of 1029221154 in words is "one billion, twenty-nine million, two hundred twenty-one thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 169 234 243 338 351 486 507 702 729 1014 1053 1458 1521 2106 3042 3159 4177 4563 6318 8354 9126 9477 12531 13689 18954 25062 27378 37593 41067 54301 75186 82134 108602 112779 123201 162903 225558 246402 325806 338337 488709 676674 705913 977418 1015011 1411826 1466127 2030022 2117739 2932254 3045033 4235478 4398381 6090066 6353217 8796762 12706434 13195143 19059651 26390286 38119302 39585429 57178953 79170858 114357906 171536859 343073718 514610577 1029221154