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226473669360 = 243354319912253
BaseRepresentation
bin1101001011101011100…
…0011111001011110000
3210122120100011102122000
43102322320133023300
512202304224404420
6252012432414000
722235141266341
oct3227270371360
9718510142560
10226473669360
1188057533894
1237a856a7300
1318482c58ba3
14ad660760c8
155d576de690
hex34bae1f2f0

226473669360 has 320 divisors, whose sum is σ = 802293888000. Its totient is φ = 58687276032.

The previous prime is 226473669319. The next prime is 226473669413. The reversal of 226473669360 is 63966374622.

226473669360 is a `hidden beast` number, since 2 + 26 + 473 + 6 + 6 + 93 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 226473669297 and 226473669306.

It is a congruent number.

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, 18476994 + ... + 18489246.

It is an arithmetic number, because the mean of its divisors is an integer number (2507168400).

Almost surely, 2226473669360 is an apocalyptic number.

226473669360 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 226473669360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401146944000).

226473669360 is an abundant number, since it is smaller than the sum of its proper divisors (575820218640).

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

226473669360 is a wasteful number, since it uses less digits than its factorization.

226473669360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 226473669360 in words is "two hundred twenty-six billion, four hundred seventy-three million, six hundred sixty-nine thousand, three hundred sixty".