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233040401120 = 2552026171887
BaseRepresentation
bin1101100100001001001…
…0100101001011100000
3211021111222121222010102
43121002102211023200
512304231320313440
6255020212321532
722556646504032
oct3310222451340
9737458558112
10233040401120
118a91725a62a
12391b89132a8
1318c8b572a97
14b3ca24bc52
1560dde72b15
hex36424a52e0

233040401120 has 48 divisors (see below), whose sum is σ = 550592779968. Its totient is φ = 93210263040.

The previous prime is 233040401101. The next prime is 233040401131. The reversal of 233040401120 is 21104040332.

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 = 233040401092 and 233040401101.

It is a congruent number.

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, 3205817 + ... + 3277703.

It is an arithmetic number, because the mean of its divisors is an integer number (11470682916).

Almost surely, 2233040401120 is an apocalyptic number.

233040401120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233040401120 is an abundant number, since it is smaller than the sum of its proper divisors (317552378848).

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

233040401120 is a wasteful number, since it uses less digits than its factorization.

233040401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92163 (or 92155 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 233040401120 its reverse (21104040332), we get a palindrome (254144441452).

The spelling of 233040401120 in words is "two hundred thirty-three billion, forty million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20261 40522 71887 81044 101305 143774 162088 202610 287548 324176 359435 405220 575096 648352 718870 810440 1150192 1437740 1620880 2300384 2875480 3241760 5750960 11501920 1456502507 2913005014 5826010028 7282512535 11652020056 14565025070 23304040112 29130050140 46608080224 58260100280 116520200560 233040401120