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230333011000 = 23536110913461
BaseRepresentation
bin1101011010000011101…
…0101101010000111000
3211000112022012022002021
43112200322231100320
512233210222323000
6253451415444224
722432603201261
oct3264072552070
9730468168067
10230333011000
1189757a86334
1238782086674
131894969c6b1
14b210853968
155ed142d11a
hex35a0ead438

230333011000 has 128 divisors (see below), whose sum is σ = 548475520320. Its totient is φ = 90513600000.

The previous prime is 230333010989. The next prime is 230333011003. The reversal of 230333011000 is 110333032.

It is a super-2 number, since 2×2303330110002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333011003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66549270 + ... + 66552730.

Almost surely, 2230333011000 is an apocalyptic number.

230333011000 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 230333011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274237760160).

230333011000 is an abundant number, since it is smaller than the sum of its proper divisors (318142509320).

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

230333011000 is a wasteful number, since it uses less digits than its factorization.

230333011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 230333011000 its reverse (110333032), we get a palindrome (230443344032).

The spelling of 230333011000 in words is "two hundred thirty billion, three hundred thirty-three million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1091 1220 1525 2182 2440 3050 3461 4364 5455 6100 6922 7625 8728 10910 12200 13844 15250 17305 21820 27275 27688 30500 34610 43640 54550 61000 66551 69220 86525 109100 133102 136375 138440 173050 211121 218200 266204 272750 332755 346100 422242 432625 532408 545500 665510 692200 844484 865250 1055605 1091000 1331020 1663775 1688968 1730500 2111210 2662040 3327550 3461000 3775951 4222420 5278025 6655100 7551902 8318875 8444840 10556050 13310200 15103804 16637750 18879755 21112100 26390125 30207608 33275500 37759510 42224200 52780250 66551000 75519020 94398775 105560500 151038040 188797550 211121000 230333011 377595100 460666022 471993875 755190200 921332044 943987750 1151665055 1842664088 1887975500 2303330110 3775951000 4606660220 5758325275 9213320440 11516650550 23033301100 28791626375 46066602200 57583252750 115166505500 230333011000