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226769735808 = 2734731121731
BaseRepresentation
bin1101001100110010000…
…1111001000010000000
3210200022222021011110000
43103030201321002000
512203411023021213
6252102050240000
722245364644000
oct3231441710200
9720288234400
10226769735808
1188199670a00
1237b48886000
13184cc3aa435
14ad93504000
155d736c2c73
hex34cc879080

226769735808 has 1920 divisors, whose sum is σ = 945495936000. Its totient is φ = 53648179200.

The previous prime is 226769735771. The next prime is 226769735851. The reversal of 226769735808 is 808537967622.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7315152753 + ... + 7315152783.

It is an arithmetic number, because the mean of its divisors is an integer number (492445800).

Almost surely, 2226769735808 is an apocalyptic number.

226769735808 is a gapful number since it is divisible by the number (28) 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 226769735808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472747968000).

226769735808 is an abundant number, since it is smaller than the sum of its proper divisors (718726200192).

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

226769735808 is a wasteful number, since it uses less digits than its factorization.

226769735808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 226769735808 in words is "two hundred twenty-six billion, seven hundred sixty-nine million, seven hundred thirty-five thousand, eight hundred eight".