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229354910700240 = 2435131071315244431
BaseRepresentation
bin110100001001100011011001…
…111110101101001011010000
31010002002010010002000000021010
4310021203121332231023100
5220030222324114401430
62131444105202130520
766211226332312413
oct6411433176551320
91102063102000233
10229354910700240
1167096964902606
1221882627650a40
139ac90c94c44b0
14408cba0693b7a
151b7b0aa81ccb0
hexd098d9fad2d0

229354910700240 has 320 divisors, whose sum is σ = 778748308918272. Its totient is φ = 55502012467200.

The previous prime is 229354910700233. The next prime is 229354910700271. The reversal of 229354910700240 is 42007019453922.

229354910700240 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 229354910700240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41110825 + ... + 46355255.

Almost surely, 2229354910700240 is an apocalyptic number.

229354910700240 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 229354910700240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389374154459136).

229354910700240 is an abundant number, since it is smaller than the sum of its proper divisors (549393398218032).

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

229354910700240 is a wasteful number, since it uses less digits than its factorization.

229354910700240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5244698 (or 5244692 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 229354910700240 in words is "two hundred twenty-nine trillion, three hundred fifty-four billion, nine hundred ten million, seven hundred thousand, two hundred forty".