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22829364 = 22367829
BaseRepresentation
bin101011100010…
…1100100110100
31120221212000000
41113011210310
521321014424
62133151300
7365021625
oct127054464
946855000
1022829364
1111983048
12778b530
1349641cc
143063a4c
15200e3c9
hex15c5934

22829364 has 42 divisors (see below), whose sum is σ = 59907330. Its totient is φ = 7608816.

The previous prime is 22829321. The next prime is 22829371. The reversal of 22829364 is 46392822.

It can be written as a sum of positive squares in only one way, i.e., 15539364 + 7290000 = 3942^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999 + ... + 6830.

It is an arithmetic number, because the mean of its divisors is an integer number (1426365).

Almost surely, 222829364 is an apocalyptic number.

It is an amenable number.

22829364 is an abundant number, since it is smaller than the sum of its proper divisors (37077966).

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

22829364 is an equidigital number, since it uses as much as digits as its factorization.

22829364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7834 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 22829364 is about 4778.0083716963. The cubic root of 22829364 is about 283.6816673869.

It can be divided in two parts, 228 and 29364, that added together give a palindrome (29592).

The spelling of 22829364 in words is "twenty-two million, eight hundred twenty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 7829 15658 23487 31316 46974 70461 93948 140922 211383 281844 422766 634149 845532 1268298 1902447 2536596 3804894 5707341 7609788 11414682 22829364