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230628222000 = 243453111723331
BaseRepresentation
bin1101011011001010000…
…0110110010000110000
3211001021212200120110000
43112302200312100300
512234311311101000
6253541003110000
722443116353611
oct3266240662060
9731255616400
10230628222000
1189899689770
1238844b12300
13189958b1767
14b23bb3bc08
155eec2e3000
hex35b2836430

230628222000 has 1600 divisors, whose sum is σ = 1007104969728. Its totient is φ = 50181120000.

The previous prime is 230628221969. The next prime is 230628222001. The reversal of 230628222000 is 222826032.

It is a happy number.

230628222000 is a `hidden beast` number, since 2 + 30 + 628 + 2 + 2 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230628222001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 696761835 + ... + 696762165.

Almost surely, 2230628222000 is an apocalyptic number.

230628222000 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 230628222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503552484864).

230628222000 is an abundant number, since it is smaller than the sum of its proper divisors (776476747728).

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

230628222000 is a wasteful number, since it uses less digits than its factorization.

230628222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 230628222000 in words is "two hundred thirty billion, six hundred twenty-eight million, two hundred twenty-two thousand".