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424229064 = 233721512389
BaseRepresentation
bin11001010010010…
…011100011001000
31002120021001212120
4121102103203020
51332100312224
6110032411240
713340613300
oct3122234310
91076231776
10424229064
111a8514636
12ba0a6b20
1369b7591c
14404b0600
152739c779
hex194938c8

424229064 has 96 divisors (see below), whose sum is σ = 1242417600. Its totient is φ = 120355200.

The previous prime is 424229051. The next prime is 424229107. The reversal of 424229064 is 460922424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176382 + ... + 178770.

It is an arithmetic number, because the mean of its divisors is an integer number (12941850).

Almost surely, 2424229064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424229064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621208800).

424229064 is an abundant number, since it is smaller than the sum of its proper divisors (818188536).

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

424229064 is a wasteful number, since it uses less digits than its factorization.

424229064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 424229064 is about 20596.8216965628. The cubic root of 424229064 is about 751.3924141994.

The spelling of 424229064 in words is "four hundred twenty-four million, two hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 151 168 196 294 302 392 453 588 604 906 1057 1176 1208 1812 2114 2389 3171 3624 4228 4778 6342 7167 7399 8456 9556 12684 14334 14798 16723 19112 22197 25368 28668 29596 33446 44394 50169 57336 59192 66892 88788 100338 117061 133784 177576 200676 234122 351183 360739 401352 468244 702366 721478 936488 1082217 1404732 1442956 2164434 2525173 2809464 2885912 4328868 5050346 7575519 8657736 10100692 15151038 17676211 20201384 30302076 35352422 53028633 60604152 70704844 106057266 141409688 212114532 424229064