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133233144 = 23311504671
BaseRepresentation
bin1111111000011…
…11100111111000
3100021200221111220
413330033213320
5233101430034
621115352040
73205314552
oct774174770
9307627456
10133233144
1169230040
1238752620
13217ab2a5
14139a24d2
15ba6b749
hex7f0f9f8

133233144 has 32 divisors (see below), whose sum is σ = 363363840. Its totient is φ = 40373600.

The previous prime is 133233119. The next prime is 133233161. The reversal of 133233144 is 441332331.

133233144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

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, 252072 + ... + 252599.

It is an arithmetic number, because the mean of its divisors is an integer number (11355120).

Almost surely, 2133233144 is an apocalyptic number.

It is an amenable number.

133233144 is an abundant number, since it is smaller than the sum of its proper divisors (230130696).

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

133233144 is a wasteful number, since it uses less digits than its factorization.

133233144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504691 (or 504687 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 133233144 is about 11542.6662431173. Note that the first 3 decimals coincide. The cubic root of 133233144 is about 510.7449628131.

Adding to 133233144 its reverse (441332331), we get a palindrome (574565475).

The spelling of 133233144 in words is "one hundred thirty-three million, two hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 504671 1009342 1514013 2018684 3028026 4037368 5551381 6056052 11102762 12112104 16654143 22205524 33308286 44411048 66616572 133233144