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224152152104020 = 225714231125148841
BaseRepresentation
bin110010111101110101111101…
…011001101101110001010100
31002101122201212212210222202011
4302331311331121231301110
5213340002101414312040
62112422024353154004
765133313201030540
oct6275657531556124
91071581785728664
10224152152104020
1165470437256768
122118223225b904
13980c5c374c60a
143d4d044702a20
151adaaa28ba3ea
hexcbdd7d66dc54

224152152104020 has 48 divisors (see below), whose sum is σ = 538343215538688. Its totient is φ = 76798159223040.

The previous prime is 224152152104011. The next prime is 224152152104029. The reversal of 224152152104020 is 20401251251422.

It is an interprime number because it is at equal distance from previous prime (224152152104011) and next prime (224152152104029).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224152152104029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562375201 + ... + 562773640.

It is an arithmetic number, because the mean of its divisors is an integer number (11215483657056).

Almost surely, 2224152152104020 is an apocalyptic number.

224152152104020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224152152104020 is an abundant number, since it is smaller than the sum of its proper divisors (314191063434668).

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

224152152104020 is a wasteful number, since it uses less digits than its factorization.

224152152104020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125150280 (or 1125150278 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

The spelling of 224152152104020 in words is "two hundred twenty-four trillion, one hundred fifty-two billion, one hundred fifty-two million, one hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1423 2846 5692 7115 9961 14230 19922 28460 39844 49805 99610 199220 1125148841 2250297682 4500595364 5625744205 7876041887 11251488410 15752083774 22502976820 31504167548 39380209435 78760418870 157520837740 1601086800743 3202173601486 6404347202972 8005434003715 11207607605201 16010868007430 22415215210402 32021736014860 44830430420804 56038038026005 112076076052010 224152152104020