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228377331000 = 233253713278849
BaseRepresentation
bin1101010010110001011…
…0011000010100111000
3210211111000020110110200
43110230112120110320
512220204044043000
6252525354442200
722333255166310
oct3245426302470
9724430213420
10228377331000
118894405aa75
1238317133360
13186c74722b0
14b0a6c14440
155e198c2500
hex352c598538

228377331000 has 384 divisors, whose sum is σ = 950053104000. Its totient is φ = 48184934400.

The previous prime is 228377330981. The next prime is 228377331011. The reversal of 228377331000 is 133773822.

It is a super-2 number, since 2×2283773310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 679576 + ... + 958424.

It is an arithmetic number, because the mean of its divisors is an integer number (2474096625).

Almost surely, 2228377331000 is an apocalyptic number.

228377331000 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 228377331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475026552000).

228377331000 is an abundant number, since it is smaller than the sum of its proper divisors (721675773000).

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

228377331000 is a wasteful number, since it uses less digits than its factorization.

228377331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278896 (or 278879 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 228377331000 in words is "two hundred twenty-eight billion, three hundred seventy-seven million, three hundred thirty-one thousand".