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232101828 = 22337261719
BaseRepresentation
bin11011101010110…
…01011111000100
3121011201222212000
431311121133010
5433404224303
635010425300
75515555500
oct1565313704
9534658760
10232101828
1110a0195a2
1265892230
1339116b7a
1422b7b300
151559ada3
hexdd597c4

232101828 has 144 divisors (see below), whose sum is σ = 712454400. Its totient is φ = 65136960.

The previous prime is 232101827. The next prime is 232101913. The reversal of 232101828 is 828101232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232101823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322453 + ... + 323171.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2232101828 is an apocalyptic number.

232101828 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 232101828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356227200).

232101828 is an abundant number, since it is smaller than the sum of its proper divisors (480352572).

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

232101828 is a wasteful number, since it uses less digits than its factorization.

232101828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 232101828 is about 15234.8885128838. Note that the first 3 decimals coincide. The cubic root of 232101828 is about 614.5532508032.

The spelling of 232101828 in words is "two hundred thirty-two million, one hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 61 63 84 98 108 122 126 147 183 189 196 244 252 294 366 378 427 441 549 588 719 732 756 854 882 1098 1281 1323 1438 1647 1708 1764 2157 2196 2562 2646 2876 2989 3294 3843 4314 5033 5124 5292 5978 6471 6588 7686 8628 8967 10066 11529 11956 12942 15099 15372 17934 19413 20132 23058 25884 26901 30198 35231 35868 38826 43859 45297 46116 53802 60396 70462 77652 80703 87718 90594 105693 107604 131577 135891 140924 161406 175436 181188 211386 263154 271782 307013 317079 322812 394731 422772 526308 543564 614026 634158 789462 921039 951237 1184193 1228052 1268316 1578924 1842078 1902474 2149091 2368386 2763117 3684156 3804948 4298182 4736772 5526234 6447273 8289351 8596364 11052468 12894546 16578702 19341819 25789092 33157404 38683638 58025457 77367276 116050914 232101828