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223202400022140 = 2235721131721772063
BaseRepresentation
bin110010110000000001011011…
…110001000010111001111100
31002021021221102000201021121120
4302300001123301002321330
5213223422003401202030
62110413433402030540
765004561355365600
oct6260013361027174
91067257360637546
10223202400022140
1165134673a35430
122104a1541a8450
139770b856b7706
143d190a78c3500
151ac101766b010
hexcb005bc42e7c

223202400022140 has 288 divisors, whose sum is σ = 795595111041024. Its totient is φ = 46233409098240.

The previous prime is 223202400022093. The next prime is 223202400022181. The reversal of 223202400022140 is 41220004202322.

It is a super-3 number, since 3×2232024000221403 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223202400022140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 634252 + ... + 21137811.

It is an arithmetic number, because the mean of its divisors is an integer number (2762483024448).

Almost surely, 2223202400022140 is an apocalyptic number.

223202400022140 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 223202400022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397797555520512).

223202400022140 is an abundant number, since it is smaller than the sum of its proper divisors (572392711018884).

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

223202400022140 is a wasteful number, since it uses less digits than its factorization.

223202400022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21772417 (or 21772408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 223202400022140 its reverse (41220004202322), we get a palindrome (264422404224462).

The spelling of 223202400022140 in words is "two hundred twenty-three trillion, two hundred two billion, four hundred million, twenty-two thousand, one hundred forty".