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223861455840 = 253511190122303
BaseRepresentation
bin1101000001111100101…
…1101011101111100000
3210101211021211020100010
43100133023223233200
512131432013041330
6250501315524520
722113331656441
oct3203713535740
9711737736303
10223861455840
1186a36a57140
12374768b9740
13181579caa09
14ab991752c8
155c531ea3b0
hex341f2ebbe0

223861455840 has 192 divisors, whose sum is σ = 769708541952. Its totient is φ = 54238464000.

The previous prime is 223861455823. The next prime is 223861455859. The reversal of 223861455840 is 48554168322.

It is a super-3 number, since 3×2238614558403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 223861455840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10026129 + ... + 10048431.

It is an arithmetic number, because the mean of its divisors is an integer number (4008898656).

Almost surely, 2223861455840 is an apocalyptic number.

223861455840 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 223861455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384854270976).

223861455840 is an abundant number, since it is smaller than the sum of its proper divisors (545847086112).

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

223861455840 is a wasteful number, since it uses less digits than its factorization.

223861455840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24233 (or 24225 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 223861455840 in words is "two hundred twenty-three billion, eight hundred sixty-one million, four hundred fifty-five thousand, eight hundred forty".