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226870979328 = 2834731127397
BaseRepresentation
bin1101001101001010010…
…0000110101100000000
3210200121000202212110000
43103102210012230000
512204112432314303
6252120104240000
722251034335420
oct3232244065400
9720530685400
10226870979328
1188240831734
1237b76770000
1318517367c46
14ada2b3a480
155d7c520da3
hex34d2906b00

226870979328 has 720 divisors, whose sum is σ = 806379126784. Its totient is φ = 62078607360.

The previous prime is 226870979317. The next prime is 226870979353. The reversal of 226870979328 is 823979078622.

226870979328 is a `hidden beast` number, since 226 + 87 + 0 + 9 + 7 + 9 + 328 = 666.

It is a super-2 number, since 2×2268709793282 (a number of 24 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 571463226 + ... + 571463622.

Almost surely, 2226870979328 is an apocalyptic number.

226870979328 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 226870979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403189563392).

226870979328 is an abundant number, since it is smaller than the sum of its proper divisors (579508147456).

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

226870979328 is a wasteful number, since it uses less digits than its factorization.

226870979328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 226870979328 in words is "two hundred twenty-six billion, eight hundred seventy million, nine hundred seventy-nine thousand, three hundred twenty-eight".