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233975028 = 22374121657
BaseRepresentation
bin11011111001000…
…10110011110100
3121022021011101210
431330202303310
5434344200103
635114521420
75540516640
oct1574426364
9538234353
10233975028
111100889a1
1266436270
1339621681
1423107c20
151581ae03
hexdf22cf4

233975028 has 72 divisors (see below), whose sum is σ = 639908416. Its totient is φ = 65180160.

The previous prime is 233975023. The next prime is 233975041. The reversal of 233975028 is 820579332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233975023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140376 + ... + 142032.

Almost surely, 2233975028 is an apocalyptic number.

233975028 is a gapful number since it is divisible by the number (28) 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 233975028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319954208).

233975028 is an abundant number, since it is smaller than the sum of its proper divisors (405933388).

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

233975028 is a wasteful number, since it uses less digits than its factorization.

233975028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 233975028 is about 15296.2422836460. The cubic root of 233975028 is about 616.2020932741.

The spelling of 233975028 in words is "two hundred thirty-three million, nine hundred seventy-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1657 1681 1722 3314 3362 3444 4971 5043 6628 6724 9942 10086 11599 11767 19884 20172 23198 23534 34797 35301 46396 47068 67937 69594 70602 135874 139188 141204 203811 271748 407622 475559 815244 951118 1426677 1902236 2785417 2853354 5570834 5706708 8356251 11141668 16712502 19497919 33425004 38995838 58493757 77991676 116987514 233975028