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229402152000 = 2633537173877
BaseRepresentation
bin1101010110100101101…
…1110000110001000000
3210221010102121202121000
43111221123300301000
512224303422331000
6253215204132000
722400541055530
oct3255133606100
9727112552530
10229402152000
118931a59717a
1238562397000
131882b890058
14b162d834c0
155e79858000
hex35696f0c40

229402152000 has 896 divisors, whose sum is σ = 968550036480. Its totient is φ = 52072243200.

The previous prime is 229402151971. The next prime is 229402152019. The reversal of 229402152000 is 251204922.

It is a happy number.

229402152000 is a `hidden beast` number, since 229 + 402 + 15 + 20 + 0 + 0 = 666.

229402152000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2294021520002 (a number of 24 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 261575562 + ... + 261576438.

Almost surely, 2229402152000 is an apocalyptic number.

229402152000 is a gapful number since it is divisible by the number (20) 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 229402152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484275018240).

229402152000 is an abundant number, since it is smaller than the sum of its proper divisors (739147884480).

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

229402152000 is a wasteful number, since it uses less digits than its factorization.

229402152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 229402152000 its reverse (251204922), we get a palindrome (229653356922).

The spelling of 229402152000 in words is "two hundred twenty-nine billion, four hundred two million, one hundred fifty-two thousand".