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30233000 = 235372617
BaseRepresentation
bin111001101010…
…1000110101000
32002212222212202
41303111012220
530214424000
62555555332
7514655600
oct163250650
962788782
1030233000
111607a556
12a15bb48
136357065
14402dc00
1529c2dd5
hex1cd51a8

30233000 has 96 divisors (see below), whose sum is σ = 82428840. Its totient is φ = 10348800.

The previous prime is 30232997. The next prime is 30233011. The reversal of 30233000 is 33203.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 28153636 = 1442^2 + 5306^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48692 + ... + 49308.

Almost surely, 230233000 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 30233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41214420).

30233000 is an abundant number, since it is smaller than the sum of its proper divisors (52195840).

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

30233000 is a wasteful number, since it uses less digits than its factorization.

30233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 30233000 is about 5498.4543282635. The cubic root of 30233000 is about 311.5256049314.

Adding to 30233000 its reverse (33203), we get a palindrome (30266203).

The spelling of 30233000 in words is "thirty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 617 700 875 980 1000 1225 1234 1400 1750 1960 2450 2468 3085 3500 4319 4900 4936 6125 6170 7000 8638 9800 12250 12340 15425 17276 21595 24500 24680 30233 30850 34552 43190 49000 60466 61700 77125 86380 107975 120932 123400 151165 154250 172760 215950 241864 302330 308500 431900 539875 604660 617000 755825 863800 1079750 1209320 1511650 2159500 3023300 3779125 4319000 6046600 7558250 15116500 30233000