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228477348000 = 2536531117419
BaseRepresentation
bin1101010011001001001…
…1111010100010100000
3210211201222102212000000
43110302103322202200
512220410200114000
6252543330300000
722335611262126
oct3246223724240
9724658385000
10228477348000
1188995563250
1238344727600
13187120c0755
14b0b620b916
155e2357c000
hex35324fa8a0

228477348000 has 1344 divisors, whose sum is σ = 974514602880. Its totient is φ = 52005888000.

The previous prime is 228477347993. The next prime is 228477348049. The reversal of 228477348000 is 843774822.

228477348000 is a `hidden beast` number, since 22 + 84 + 7 + 73 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×2284773480002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 223 ways as a sum of consecutive naturals, for example, 545291791 + ... + 545292209.

It is an arithmetic number, because the mean of its divisors is an integer number (725085270).

Almost surely, 2228477348000 is an apocalyptic number.

228477348000 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 228477348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487257301440).

228477348000 is an abundant number, since it is smaller than the sum of its proper divisors (746037254880).

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

228477348000 is a wasteful number, since it uses less digits than its factorization.

228477348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 228477348000 in words is "two hundred twenty-eight billion, four hundred seventy-seven million, three hundred forty-eight thousand".