Search a number
-
+
232120420200 = 23345214328421
BaseRepresentation
bin1101100000101101110…
…1001000011101101000
3211012010212112002120000
43120023131020131220
512300340311421300
6254345030103000
722525106005644
oct3301335103550
9735125462500
10232120420200
118a494a20319
1238ba07aaa60
1318b72aa1886
14b33ddadc24
1560882eac00
hex360b748768

232120420200 has 120 divisors (see below), whose sum is σ = 806188663830. Its totient is φ = 61898774400.

The previous prime is 232120420109. The next prime is 232120420219. The reversal of 232120420200 is 2024021232.

232120420200 is a `hidden beast` number, since 2 + 3 + 21 + 20 + 420 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 155549782404 + 76570637796 = 394398^2 + 276714^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7148011 + ... + 7180410.

Almost surely, 2232120420200 is an apocalyptic number.

232120420200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232120420200 is an abundant number, since it is smaller than the sum of its proper divisors (574068243630).

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

232120420200 is a wasteful number, since it uses less digits than its factorization.

232120420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328449 (or 14328431 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 232120420200 its reverse (2024021232), we get a palindrome (234144441432).

The spelling of 232120420200 in words is "two hundred thirty-two billion, one hundred twenty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 14328421 28656842 42985263 57313684 71642105 85970526 114627368 128955789 143284210 171941052 214926315 257911578 286568420 343882104 358210525 386867367 429852630 515823156 573136840 644778945 716421050 773734734 859705260 1031646312 1074631575 1160602101 1289557890 1432842100 1547469468 1719410520 1934336835 2149263150 2321204202 2579115780 2865684200 3094938936 3223894725 3868673670 4298526300 4642408404 5158231560 5803010505 6447789450 7737347340 8597052600 9284816808 9671684175 11606021010 12895578900 15474694680 19343368350 23212042020 25791157800 29015052525 38686736700 46424084040 58030105050 77373473400 116060210100 232120420200