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233257420 = 225117431427
BaseRepresentation
bin11011110011100…
…11100111001100
3121020220201000201
431321303213030
5434203214140
635051303244
75531440534
oct1571634714
9536821021
10233257420
1110a738830
126614ab24
133942cb56
1422d9c4c4
151572849a
hexde739cc

233257420 has 48 divisors (see below), whose sum is σ = 535465728. Its totient is φ = 84647360.

The previous prime is 233257397. The next prime is 233257447. The reversal of 233257420 is 24752332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162747 + ... + 164173.

It is an arithmetic number, because the mean of its divisors is an integer number (11155536).

Almost surely, 2233257420 is an apocalyptic number.

233257420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233257420 is an abundant number, since it is smaller than the sum of its proper divisors (302208308).

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

233257420 is a wasteful number, since it uses less digits than its factorization.

233257420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 233257420 is about 15272.7672672637. The cubic root of 233257420 is about 615.5714784051.

The spelling of 233257420 in words is "two hundred thirty-three million, two hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 743 1427 1486 2854 2972 3715 5708 7135 7430 8173 14270 14860 15697 16346 28540 31394 32692 40865 62788 78485 81730 156970 163460 313940 1060261 2120522 4241044 5301305 10602610 11662871 21205220 23325742 46651484 58314355 116628710 233257420