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228532992 = 2832931331
BaseRepresentation
bin11011001111100…
…10001100000000
3120221000200022220
431213302030000
5432001023432
634402131040
75443332642
oct1547621400
9527020286
10228532992
11108001246
1264650a80
133846762c
14224cc892
15150e372c
hexd9f2300

228532992 has 144 divisors (see below), whose sum is σ = 651463680. Its totient is φ = 70963200.

The previous prime is 228532981. The next prime is 228533027. The reversal of 228532992 is 299235822.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690267 + ... + 690597.

Almost surely, 2228532992 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 228532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325731840).

228532992 is an abundant number, since it is smaller than the sum of its proper divisors (422930688).

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

228532992 is a wasteful number, since it uses less digits than its factorization.

228532992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 228532992 is about 15117.3076968090. The cubic root of 228532992 is about 611.3871433360.

The spelling of 228532992 in words is "two hundred twenty-eight million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 256 331 348 372 384 464 496 662 696 744 768 899 928 992 993 1324 1392 1488 1798 1856 1984 1986 2648 2697 2784 2976 3596 3712 3968 3972 5296 5394 5568 5952 7192 7424 7936 7944 9599 10261 10592 10788 11136 11904 14384 15888 19198 20522 21184 21576 22272 23808 28768 28797 30783 31776 38396 41044 42368 43152 57536 57594 61566 63552 76792 82088 84736 86304 115072 115188 123132 127104 153584 164176 172608 230144 230376 246264 254208 297569 307168 328352 345216 460752 492528 595138 614336 656704 690432 892707 921504 985056 1190276 1228672 1313408 1785414 1843008 1970112 2380552 2457344 2626816 3570828 3686016 3940224 4761104 7141656 7372032 7880448 9522208 14283312 19044416 28566624 38088832 57133248 76177664 114266496 228532992