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29229144 = 2337199157
BaseRepresentation
bin110111110000…
…0000001011000
32000222222211220
41233200001120
524440313034
62522252040
7503305110
oct157400130
960888756
1029229144
111555431a
129957020
136095169
143c4c040
152875749
hex1be0058

29229144 has 64 divisors (see below), whose sum is σ = 87916800. Its totient is φ = 7910784.

The previous prime is 29229143. The next prime is 29229169. The reversal of 29229144 is 44192292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29229143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 7770.

It is an arithmetic number, because the mean of its divisors is an integer number (1373700).

Almost surely, 229229144 is an apocalyptic number.

29229144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29229144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43958400).

29229144 is an abundant number, since it is smaller than the sum of its proper divisors (58687656).

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

29229144 is a wasteful number, since it uses less digits than its factorization.

29229144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9192 (or 9188 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 29229144 is about 5406.3984314884. The cubic root of 29229144 is about 308.0387593883.

The spelling of 29229144 in words is "twenty-nine million, two hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 9157 18314 27471 36628 54942 64099 73256 109884 128198 173983 192297 219768 256396 347966 384594 512792 521949 695932 769188 1043898 1217881 1391864 1538376 2087796 2435762 3653643 4175592 4871524 7307286 9743048 14614572 29229144