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223475426000 = 2453233479561
BaseRepresentation
bin1101000000100000101…
…1000110001011010000
3210100211101102212221122
43100020023012023100
512130134202113000
6250355125541412
722100633531141
oct3201013061320
9710741385848
10223475426000
1186859063212
1237389574868
13180c5a3b0a8
14ab5dba9ac8
155c2e396085
hex34082c62d0

223475426000 has 80 divisors (see below), whose sum is σ = 542683868688. Its totient is φ = 89006336000.

The previous prime is 223475425991. The next prime is 223475426003. The reversal of 223475426000 is 624574322.

It can be written as a sum of positive squares in 8 ways, for example, as 63481825936 + 159993600064 = 251956^2 + 399992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223475426003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226220 + ... + 705780.

Almost surely, 2223475426000 is an apocalyptic number.

223475426000 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 223475426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271341934344).

223475426000 is an abundant number, since it is smaller than the sum of its proper divisors (319208442688).

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

223475426000 is a wasteful number, since it uses less digits than its factorization.

223475426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479817 (or 479801 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 223475426000 in words is "two hundred twenty-three billion, four hundred seventy-five million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 932 1000 1165 1864 2000 2330 3728 4660 5825 9320 11650 18640 23300 29125 46600 58250 93200 116500 233000 466000 479561 959122 1918244 2397805 3836488 4795610 7672976 9591220 11989025 19182440 23978050 38364880 47956100 59945125 95912200 111737713 119890250 191824400 223475426 239780500 446950852 479561000 558688565 893901704 959122000 1117377130 1787803408 2234754260 2793442825 4469508520 5586885650 8939017040 11173771300 13967214125 22347542600 27934428250 44695085200 55868856500 111737713000 223475426000