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234022211120 = 24519153961981
BaseRepresentation
bin1101100111110011001…
…1111000111000110000
3211101001102002002020202
43121330303320320300
512313234141223440
6255301444054332
722623200654615
oct3317463707060
9741042062222
10234022211120
1190280489a55
12394316943a8
13190b6ab1649
14b4807c250c
15614a25e615
hex367ccf8e30

234022211120 has 40 divisors (see below), whose sum is σ = 572738573040. Its totient is φ = 88682100480.

The previous prime is 234022211119. The next prime is 234022211131. The reversal of 234022211120 is 21112220432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234022211092 and 234022211101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76979471 + ... + 76982510.

It is an arithmetic number, because the mean of its divisors is an integer number (14318464326).

Almost surely, 2234022211120 is an apocalyptic number.

234022211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234022211120 is an abundant number, since it is smaller than the sum of its proper divisors (338716361920).

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

234022211120 is a wasteful number, since it uses less digits than its factorization.

234022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153962013 (or 153962007 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 234022211120 its reverse (21112220432), we get a palindrome (255134431552).

The spelling of 234022211120 in words is "two hundred thirty-four billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 153961981 307923962 615847924 769809905 1231695848 1539619810 2463391696 2925277639 3079239620 5850555278 6158479240 11701110556 12316958480 14626388195 23402221112 29252776390 46804442224 58505552780 117011105560 234022211120