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233054144 = 2653127541
BaseRepresentation
bin11011110010000…
…01111111000000
3121020112101011222
431321001333000
5434130213034
635043054212
75526633101
oct1571017700
9536471158
10233054144
1110a60a034
1266071368
133938b47b
1422d483a8
15156d812e
hexde41fc0

233054144 has 56 divisors (see below), whose sum is σ = 475780608. Its totient is φ = 113218560.

The previous prime is 233054141. The next prime is 233054149. The reversal of 233054144 is 441450332.

233054144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233054141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430514 + ... + 431054.

Almost surely, 2233054144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237890304).

233054144 is an abundant number, since it is smaller than the sum of its proper divisors (242726464).

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

233054144 is a wasteful number, since it uses less digits than its factorization.

233054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 233054144 is about 15266.1109651411. The cubic root of 233054144 is about 615.3926098192.

The spelling of 233054144 in words is "two hundred thirty-three million, fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 127 212 254 424 508 541 848 1016 1082 1696 2032 2164 3392 4064 4328 6731 8128 8656 13462 17312 26924 28673 34624 53848 57346 68707 107696 114692 137414 215392 229384 274828 430784 458768 549656 917536 1099312 1835072 2198624 3641471 4397248 7282942 14565884 29131768 58263536 116527072 233054144