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229896086912 = 2719412838147
BaseRepresentation
bin1101011000011011011…
…1111110010110000000
3210222101212001020220122
43112012313332112000
512231311344240122
6253340210555412
722416016332152
oct3260667762600
9728355036818
10229896086912
1189553390848
123867b898b68
13188aa00062b
14b1ac7daad2
155ea7dc4142
hex3586dfe580

229896086912 has 128 divisors (see below), whose sum is σ = 495665654400. Its totient is φ = 105853685760.

The previous prime is 229896086879. The next prime is 229896086921. The reversal of 229896086912 is 219680698922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 28214423 + ... + 28222569.

It is an arithmetic number, because the mean of its divisors is an integer number (3872387925).

Almost surely, 2229896086912 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 229896086912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247832827200).

229896086912 is an abundant number, since it is smaller than the sum of its proper divisors (265769567488).

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

229896086912 is a wasteful number, since it uses less digits than its factorization.

229896086912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8504 (or 8492 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 62.

The spelling of 229896086912 in words is "two hundred twenty-nine billion, eight hundred ninety-six million, eighty-six thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 283 304 328 566 608 656 779 1132 1216 1312 1558 2264 2432 2624 3116 4528 5248 5377 6232 8147 9056 10754 11603 12464 16294 18112 21508 23206 24928 32588 36224 43016 46412 49856 65176 86032 92824 99712 130352 154793 172064 185648 220457 260704 309586 334027 344128 371296 440914 521408 619172 668054 688256 742592 881828 1042816 1238344 1336108 1485184 1763656 2305601 2476688 2672216 3527312 4611202 4953376 5344432 6346513 7054624 9222404 9906752 10688864 12693026 14109248 18444808 19813504 21377728 25386052 28218496 36889616 42755456 43806419 50772104 73779232 87612838 94529641 101544208 147558464 175225676 189059282 203088416 295116928 350451352 378118564 406176832 700902704 756237128 812353664 1401805408 1512474256 1796063179 2803610816 3024948512 3592126358 5607221632 6049897024 7184252716 12099794048 14368505432 28737010864 57474021728 114948043456 229896086912