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234961920 = 2103255099
BaseRepresentation
bin11100000000100…
…11110000000000
3121101010022011100
432000103300000
5440122240140
635152014400
75552100114
oct1600236000
9541108140
10234961920
111106a2406
1266831400
13398a892b
14232c3744
1515963530
hexe013c00

234961920 has 132 divisors (see below), whose sum is σ = 814296600. Its totient is φ = 62644224.

The previous prime is 234961871. The next prime is 234962003. The reversal of 234961920 is 29169432.

234961920 is a `hidden beast` number, since 2 + 34 + 9 + 619 + 2 + 0 = 666.

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 11 ways as a sum of consecutive naturals, for example, 43531 + ... + 48629.

Almost surely, 2234961920 is an apocalyptic number.

234961920 is a gapful number since it is divisible by the number (20) 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 234961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407148300).

234961920 is an abundant number, since it is smaller than the sum of its proper divisors (579334680).

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

234961920 is a wasteful number, since it uses less digits than its factorization.

234961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5130 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 234961920 is about 15328.4676337852. The cubic root of 234961920 is about 617.0672452926.

The spelling of 234961920 in words is "two hundred thirty-four million, nine hundred sixty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5099 5120 5760 7680 9216 10198 11520 15297 15360 20396 23040 25495 30594 40792 45891 46080 50990 61188 76485 81584 91782 101980 122376 152970 163168 183564 203960 229455 244752 305940 326336 367128 407920 458910 489504 611880 652672 734256 815840 917820 979008 1223760 1305344 1468512 1631680 1835640 1958016 2447520 2610688 2937024 3263360 3671280 3916032 4895040 5221376 5874048 6526720 7342560 7832064 9790080 11748096 13053440 14685120 15664128 19580160 23496192 26106880 29370240 39160320 46992384 58740480 78320640 117480960 234961920