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223031440322240 = 265113110721671069
BaseRepresentation
bin110010101101100010001101…
…110001100010111011000000
31002020200121010112212200201112
4302231202031301202323000
5213213121342210302430
62110203121302222452
764656330002044544
oct6255421561427300
91066617115780645
10223031440322240
116507911470a550
1221020ba2124a28
13975aa0b993784
143d10aca5cda24
151abb85d950195
hexcad88dc62ec0

223031440322240 has 672 divisors, whose sum is σ = 607889117122560. Its totient is φ = 77214739046400.

The previous prime is 223031440322237. The next prime is 223031440322263. The reversal of 223031440322240 is 42223044130322.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 223031440322197 and 223031440322206.

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, 208635584426 + ... + 208635585494.

It is an arithmetic number, because the mean of its divisors is an integer number (904596900480).

Almost surely, 2223031440322240 is an apocalyptic number.

223031440322240 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 223031440322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303944558561280).

223031440322240 is an abundant number, since it is smaller than the sum of its proper divisors (384857676800320).

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

223031440322240 is a wasteful number, since it uses less digits than its factorization.

223031440322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 223031440322240 its reverse (42223044130322), we get a palindrome (265254484452562).

The spelling of 223031440322240 in words is "two hundred twenty-three trillion, thirty-one billion, four hundred forty million, three hundred twenty-two thousand, two hundred forty".