Search a number
-
+
229649292132 = 2231329101350111
BaseRepresentation
bin1101010111100000101…
…0100001101101100100
3210221202122122210010020
43111320022201231210
512230310204322012
6253255513155140
722406631526641
oct3257012415544
9727678583106
10229649292132
1189437047217
12386110bbab0
131886ab40b10
14b187b16dc8
155e913c4a8c
hex35782a1b64

229649292132 has 96 divisors (see below), whose sum is σ = 597567559680. Its totient is φ = 68156014080.

The previous prime is 229649292101. The next prime is 229649292139. The reversal of 229649292132 is 231292946922.

It is not an unprimeable number, because it can be changed into a prime (229649292139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4557757 + ... + 4607867.

It is an arithmetic number, because the mean of its divisors is an integer number (6224662080).

Almost surely, 2229649292132 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 229649292132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298783779840).

229649292132 is an abundant number, since it is smaller than the sum of its proper divisors (367918267548).

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

229649292132 is a wasteful number, since it uses less digits than its factorization.

229649292132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51173 (or 51171 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The spelling of 229649292132 in words is "two hundred twenty-nine billion, six hundred forty-nine million, two hundred ninety-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1013 1131 1508 2026 2262 3039 4052 4524 6078 12156 13169 26338 29377 39507 50111 52676 58754 79014 88131 100222 117508 150333 158028 176262 200444 300666 352524 381901 601332 651443 763802 1145703 1302886 1453219 1527604 1954329 2291406 2605772 2906438 3908658 4359657 4582812 5812876 7817316 8719314 17438628 18891847 37783694 50762443 56675541 75567388 101524886 113351082 152287329 203049772 226702164 304574658 609149316 659911759 1319823518 1472110847 1979735277 2639647036 2944221694 3959470554 4416332541 5888443388 7918941108 8832665082 17665330164 19137441011 38274882022 57412323033 76549764044 114824646066 229649292132