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142233840 = 24335723409
BaseRepresentation
bin10000111101001…
…01000011110000
3100220122020011000
420132211003300
5242402440330
622040322000
73344652630
oct1036450360
9326566130
10142233840
1173318431
123b773300
1323610048
1414c666c0
15c748560
hex87a50f0

142233840 has 320 divisors, whose sum is σ = 585676800. Its totient is φ = 31021056.

The previous prime is 142233799. The next prime is 142233841. The reversal of 142233840 is 48332241.

It is a super-2 number, since 2×1422338402 = 40460930482291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142233841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347556 + ... + 347964.

It is an arithmetic number, because the mean of its divisors is an integer number (1830240).

Almost surely, 2142233840 is an apocalyptic number.

142233840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292838400).

142233840 is an abundant number, since it is smaller than the sum of its proper divisors (443442960).

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

142233840 is a wasteful number, since it uses less digits than its factorization.

142233840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142233840 is about 11926.1829601931. The cubic root of 142233840 is about 521.9965649133.

The spelling of 142233840 in words is "one hundred forty-two million, two hundred thirty-three thousand, eight hundred forty".