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223971998976 = 2832112803389
BaseRepresentation
bin1101000010010111000…
…1010111110100000000
3210102002222211102000100
43100211301113310000
512132143312431401
6250520305122400
722116143402565
oct3204561276400
9712088742010
10223971998976
1186a93399900
12374a7929400
131817489335b
14aba9b0c86c
155c5cc83b86
hex3425c57d00

223971998976 has 162 divisors, whose sum is σ = 709810329410. Its totient is φ = 67870218240.

The previous prime is 223971998959. The next prime is 223971999059. The reversal of 223971998976 is 679899179322.

223971998976 is a `hidden beast` number, since 2 + 2 + 397 + 1 + 99 + 89 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218350598400 + 5621400576 = 467280^2 + 74976^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 122911 + ... + 680478.

Almost surely, 2223971998976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223971998976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354905164705).

223971998976 is an abundant number, since it is smaller than the sum of its proper divisors (485838330434).

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

223971998976 is a wasteful number, since it uses less digits than its factorization.

223971998976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803433 (or 803405 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The spelling of 223971998976 in words is "two hundred twenty-three billion, nine hundred seventy-one million, nine hundred ninety-eight thousand, nine hundred seventy-six".