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229261344140 = 2251716731112983
BaseRepresentation
bin1101010110000100001…
…0100111110110001100
3210220202121122222112002
43111201002213312030
512224011401003030
6253153214131432
722364211162143
oct3254102476614
9726677588462
10229261344140
1189258063144
12385231b0b78
131880865c0aa
14b14c3ac75a
155e6c2e2245
hex35610a7d8c

229261344140 has 96 divisors (see below), whose sum is σ = 514510424064. Its totient is φ = 85510876160.

The previous prime is 229261344131. The next prime is 229261344187. The reversal of 229261344140 is 41443162922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 229261344094 and 229261344103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17652089 + ... + 17665071.

It is an arithmetic number, because the mean of its divisors is an integer number (5359483584).

Almost surely, 2229261344140 is an apocalyptic number.

229261344140 is a gapful number since it is divisible by the number (20) 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 229261344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257255212032).

229261344140 is an abundant number, since it is smaller than the sum of its proper divisors (285249079924).

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

229261344140 is a wasteful number, since it uses less digits than its factorization.

229261344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13487 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 229261344140 in words is "two hundred twenty-nine billion, two hundred sixty-one million, three hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 167 170 311 334 340 622 668 835 1244 1555 1670 2839 3110 3340 5287 5678 6220 10574 11356 12983 14195 21148 25966 26435 28390 51932 51937 52870 56780 64915 103874 105740 129830 207748 220711 259660 259685 441422 519370 882844 882929 1038740 1103555 1765858 2168161 2207110 3531716 4037713 4336322 4414220 4414645 8075426 8672644 8829290 10840805 16150852 17658580 20188565 21681610 36858737 40377130 43363220 68641121 73717474 80754260 137282242 147434948 184293685 274564484 343205605 368587370 674298071 686411210 737174740 1348596142 1372822420 2697192284 3371490355 6742980710 11463067207 13485961420 22926134414 45852268828 57315336035 114630672070 229261344140