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13224870 = 234529563
BaseRepresentation
bin110010011100…
…101110100110
3220212220010000
4302130232212
511341143440
61151242130
7220260321
oct62345646
926786100
1013224870
11751304a
124519346
132980689
141a837b8
151263730
hexc9cba6

13224870 has 80 divisors (see below), whose sum is σ = 36851760. Its totient is φ = 3398976.

The previous prime is 13224863. The next prime is 13224881. The reversal of 13224870 is 7842231.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23209 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (460647).

Almost surely, 213224870 is an apocalyptic number.

13224870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425880).

13224870 is an abundant number, since it is smaller than the sum of its proper divisors (23626890).

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

13224870 is a wasteful number, since it uses less digits than its factorization.

13224870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13224870 is about 3636.6014354064. The cubic root of 13224870 is about 236.4814813558.

The spelling of 13224870 in words is "thirteen million, two hundred twenty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 563 783 810 870 1126 1305 1566 1689 2349 2610 2815 3378 3915 4698 5067 5630 7830 8445 10134 11745 15201 16327 16890 23490 25335 30402 32654 45603 48981 50670 76005 81635 91206 97962 146943 152010 163270 228015 244905 293886 440829 456030 489810 734715 881658 1322487 1469430 2204145 2644974 4408290 6612435 13224870