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229467896352 = 2534974
BaseRepresentation
bin1101010110110101011…
…0100011101000100000
3210221022000022220220000
43111231112203220200
512224422240140402
6253225513220000
722402266636162
oct3255526435040
9727260286800
10229467896352
1189353710952
1238580401600
131883c39b836
14b16b9b8932
155e804e2c1c
hex356d5a3a20

229467896352 has 150 divisors (see below), whose sum is σ = 681888487203. Its totient is φ = 75700749312.

The previous prime is 229467896351. The next prime is 229467896363. The reversal of 229467896352 is 253698764922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 91467534096 + 138000362256 = 302436^2 + 371484^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338724.

It is a self number, because there is not a number n which added to its sum of digits gives 229467896352.

It is not an unprimeable number, because it can be changed into a prime (229467896351) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2365648368 + ... + 2365648464.

Almost surely, 2229467896352 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 229467896352

229467896352 is an abundant number, since it is smaller than the sum of its proper divisors (452420590851).

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

229467896352 is an frugal number, since it uses more digits than its factorization.

229467896352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 102 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 229467896352 in words is "two hundred twenty-nine billion, four hundred sixty-seven million, eight hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 97 108 144 162 194 216 288 291 324 388 432 582 648 776 864 873 1164 1296 1552 1746 2328 2592 2619 3104 3492 4656 5238 6984 7857 9312 9409 10476 13968 15714 18818 20952 27936 28227 31428 37636 41904 56454 62856 75272 83808 84681 112908 125712 150544 169362 225816 251424 254043 301088 338724 451632 508086 677448 762129 903264 912673 1016172 1354896 1524258 1825346 2032344 2709792 2738019 3048516 3650692 4064688 5476038 6097032 7301384 8129376 8214057 10952076 12194064 14602768 16428114 21904152 24388128 24642171 29205536 32856228 43808304 49284342 65712456 73926513 87616608 88529281 98568684 131424912 147853026 177058562 197137368 262849824 265587843 295706052 354117124 394274736 531175686 591412104 708234248 788549472 796763529 1062351372 1182824208 1416468496 1593527058 2124702744 2365648416 2390290587 2832936992 3187054116 4249405488 4780581174 6374108232 7170871761 8498810976 9561162348 12748216464 14341743522 19122324696 25496432928 28683487044 38244649392 57366974088 76489298784 114733948176 229467896352