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229231973376 = 21033717192193
BaseRepresentation
bin1101010101111101001…
…0100101010000000000
3210220200120101210102000
43111133102211100000
512223431341122001
6253150244424000
722363403424120
oct3253722452000
9726616353360
10229231973376
118924252248a
12385153a8000
1318802547643
14b148524c80
155e6993ea86
hex355f4a5400

229231973376 has 1056 divisors, whose sum is σ = 871499278080. Its totient is φ = 58095304704.

The previous prime is 229231973339. The next prime is 229231973431. The reversal of 229231973376 is 673379132922.

229231973376 is a `hidden beast` number, since 2 + 292 + 3 + 19 + 7 + 337 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1187730336 + ... + 1187730528.

Almost surely, 2229231973376 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 229231973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435749639040).

229231973376 is an abundant number, since it is smaller than the sum of its proper divisors (642267304704).

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

229231973376 is a wasteful number, since it uses less digits than its factorization.

229231973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 241 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The spelling of 229231973376 in words is "two hundred twenty-nine billion, two hundred thirty-one million, nine hundred seventy-three thousand, three hundred seventy-six".