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223045325040 = 2435929355521
BaseRepresentation
bin1100111110111010001…
…0011001000011110000
3210022201102010111100110
43033232202121003300
512123244100400130
6250244323221320
722054161660366
oct3175642310360
9708642114313
10223045325040
11866582a8a7a
1237289517840
13180578ba895
14ab1ca0b636
155c06738ab0
hex33ee8990f0

223045325040 has 40 divisors (see below), whose sum is σ = 691440508368. Its totient is φ = 59478753280.

The previous prime is 223045325023. The next prime is 223045325047. The reversal of 223045325040 is 40523540322.

223045325040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 223045324989 and 223045325007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223045325047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464677521 + ... + 464678000.

Almost surely, 2223045325040 is an apocalyptic number.

223045325040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223045325040 is an abundant number, since it is smaller than the sum of its proper divisors (468395183328).

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

223045325040 is a wasteful number, since it uses less digits than its factorization.

223045325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929355537 (or 929355531 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 223045325040 its reverse (40523540322), we get a palindrome (263568865362).

The spelling of 223045325040 in words is "two hundred twenty-three billion, forty-five million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 929355521 1858711042 2788066563 3717422084 4646777605 5576133126 7434844168 9293555210 11152266252 13940332815 14869688336 18587110420 22304532504 27880665630 37174220840 44609065008 55761331260 74348441680 111522662520 223045325040