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223506103039648 = 2511131163129132531
BaseRepresentation
bin110010110100011100010001…
…111000000111011010100000
31002022100222022121112002102021
4302310130101320013122200
5213243410444334232043
62111205141455431224
765035532406423532
oct6264342170073240
91068328277462367
10223506103039648
1165241451412580
1221098b91825514
1397936c5755530
143d29a7874d852
151ac8d8ee8a3ed
hexcb4711e076a0

223506103039648 has 192 divisors, whose sum is σ = 517816743058944. Its totient is φ = 93622693248000.

The previous prime is 223506103039589. The next prime is 223506103039649. The reversal of 223506103039648 is 846930301605322.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 223506103039595 and 223506103039604.

It is not an unprimeable number, because it can be changed into a prime (223506103039649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6870541143 + ... + 6870573673.

It is an arithmetic number, because the mean of its divisors is an integer number (2696962203432).

Almost surely, 2223506103039648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223506103039648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258908371529472).

223506103039648 is an abundant number, since it is smaller than the sum of its proper divisors (294310640019296).

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

223506103039648 is a wasteful number, since it uses less digits than its factorization.

223506103039648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019 (or 35011 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 223506103039648 in words is "two hundred twenty-three trillion, five hundred six billion, one hundred three million, thirty-nine thousand, six hundred forty-eight".