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223970449920 = 2935761163419
BaseRepresentation
bin1101000010010110101…
…1011101101000000000
3210102002212220201002220
43100211223131220000
512132142413344140
6250520212011040
722116124261440
oct3204553355000
9712085821086
10223970449920
1186a92530a98
12374a7300a80
1318174470259
14aba9828120
155c5ca79bd0
hex3425adda00

223970449920 has 640 divisors, whose sum is σ = 838806312960. Its totient is φ = 49925652480.

The previous prime is 223970449891. The next prime is 223970449951. The reversal of 223970449920 is 29944079322.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534535471 + ... + 534535889.

It is an arithmetic number, because the mean of its divisors is an integer number (1310634864).

Almost surely, 2223970449920 is an apocalyptic number.

223970449920 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 223970449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419403156480).

223970449920 is an abundant number, since it is smaller than the sum of its proper divisors (614835863040).

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

223970449920 is a wasteful number, since it uses less digits than its factorization.

223970449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 223970449920 in words is "two hundred twenty-three billion, nine hundred seventy million, four hundred forty-nine thousand, nine hundred twenty".