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229245952 = 21013171013
BaseRepresentation
bin11011010101000…
…00010000000000
3120222100220022211
431222200100000
5432141332302
634425311504
75452362355
oct1552402000
9528326284
10229245952
11108448971
1264935594
1338656cc0
142263662c
15151d4ad7
hexdaa0400

229245952 has 88 divisors (see below), whose sum is σ = 523065816. Its totient is φ = 99483648.

The previous prime is 229245937. The next prime is 229245953. The reversal of 229245952 is 259542922.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 229098496 = 384^2 + 15136^2 .

It is not an unprimeable number, because it can be changed into a prime (229245953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225798 + ... + 226810.

Almost surely, 2229245952 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 229245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261532908).

229245952 is an abundant number, since it is smaller than the sum of its proper divisors (293819864).

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

229245952 is a wasteful number, since it uses less digits than its factorization.

229245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 229245952 is about 15140.8702523996. The cubic root of 229245952 is about 612.0222698263.

It can be divided in two parts, 2 and 29245952, that multiplied together give a square (58491904 = 76482).

The spelling of 229245952 in words is "two hundred twenty-nine million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1013 1024 1088 1664 1768 2026 2176 3328 3536 4052 4352 6656 7072 8104 8704 13169 13312 14144 16208 17221 17408 26338 28288 32416 34442 52676 56576 64832 68884 105352 113152 129664 137768 210704 223873 226304 259328 275536 421408 447746 518656 551072 842816 895492 1037312 1102144 1685632 1790984 2204288 3371264 3581968 4408576 6742528 7163936 8817152 13485056 14327872 17634304 28655744 57311488 114622976 229245952