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23433415120 = 245636146049
BaseRepresentation
bin10101110100101111…
…011000100111010000
32020111010002211100201
4111310233120213100
5340442423240440
614433135224544
71456462512343
oct256457304720
966433084321
1023433415120
119a35608685
12465b978154
132295b0000b
1411c42b045a
159223c419a
hex574bd89d0

23433415120 has 40 divisors (see below), whose sum is σ = 54492438600. Its totient is φ = 9371688960.

The previous prime is 23433415099. The next prime is 23433415157. The reversal of 23433415120 is 2151433432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 506610064 + 22926805056 = 22508^2 + 151416^2 .

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

It is a super-2 number, since 2×234334151202 (a number of 22 digits) contains 22 as substring.

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, 485856 + ... + 531904.

It is an arithmetic number, because the mean of its divisors is an integer number (1362310965).

Almost surely, 223433415120 is an apocalyptic number.

23433415120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23433415120 is an abundant number, since it is smaller than the sum of its proper divisors (31059023480).

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

23433415120 is a wasteful number, since it uses less digits than its factorization.

23433415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52423 (or 52417 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 23433415120 its reverse (2151433432), we get a palindrome (25584848552).

The spelling of 23433415120 in words is "twenty-three billion, four hundred thirty-three million, four hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 6361 12722 25444 31805 46049 50888 63610 92098 101776 127220 184196 230245 254440 368392 460490 508880 736784 920980 1841960 3683920 292917689 585835378 1171670756 1464588445 2343341512 2929176890 4686683024 5858353780 11716707560 23433415120