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233414442 = 232234611223
BaseRepresentation
bin11011110100110…
…01111100101010
3121021012200102100
431322121330222
5434223230232
635054514230
75532663402
oct1572317452
9537180370
10233414442
1110a8357a8
1266205976
1339486471
1422ddd802
1515759c7c
hexde99f2a

233414442 has 48 divisors (see below), whose sum is σ = 529296768. Its totient is φ = 74199840.

The previous prime is 233414431. The next prime is 233414477. The reversal of 233414442 is 244414332.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 190243 + ... + 191465.

It is an arithmetic number, because the mean of its divisors is an integer number (11027016).

Almost surely, 2233414442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233414442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264648384).

233414442 is an abundant number, since it is smaller than the sum of its proper divisors (295882326).

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

233414442 is a wasteful number, since it uses less digits than its factorization.

233414442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1712 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 233414442 is about 15277.9069901607. The cubic root of 233414442 is about 615.7095755964.

Adding to 233414442 its reverse (244414332), we get a palindrome (477828774).

The spelling of 233414442 in words is "two hundred thirty-three million, four hundred fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 461 922 1223 1383 2446 2766 3669 4149 7338 8298 10603 11007 21206 22014 28129 31809 56258 63618 84387 95427 168774 190854 253161 506322 563803 1127606 1691409 3382818 5074227 10148454 12967469 25934938 38902407 77804814 116707221 233414442