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223342001364402 = 2323710125693129229
BaseRepresentation
bin110010110010000011011100…
…101001111001110110110010
31002021210021202002021020202100
4302302003130221321312302
5213233213404322130102
62111001522103201230
765020632666253464
oct6262033451716662
91067707662236670
10223342001364402
11651888a1290068
1221071214446216
1397810a27b804b
143d21b4c1ba134
151ac4988391a1c
hexcb20dca79db2

223342001364402 has 96 divisors (see below), whose sum is σ = 501930330061680. Its totient is φ = 71714716761600.

The previous prime is 223342001364389. The next prime is 223342001364409. The reversal of 223342001364402 is 204463100243322.

223342001364402 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 4 + 2 + 0 + 0 + 1 + 3 + 644 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 212513156664561 + 10828844699841 = 14577831^2 + 3290721^2 .

It is not an unprimeable number, because it can be changed into a prime (223342001364409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728200724 + ... + 1728329952.

Almost surely, 2223342001364402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223342001364402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250965165030840).

223342001364402 is an abundant number, since it is smaller than the sum of its proper divisors (278588328697278).

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

223342001364402 is a wasteful number, since it uses less digits than its factorization.

223342001364402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155068 (or 155065 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 223342001364402 in words is "two hundred twenty-three trillion, three hundred forty-two billion, one million, three hundred sixty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 37 74 101 111 202 222 303 333 606 666 909 1818 3737 7474 11211 22422 25693 33633 51386 67266 77079 129229 154158 231237 258458 387687 462474 775374 950641 1163061 1901282 2326122 2594993 2851923 4781473 5189986 5703846 7784979 8555769 9562946 13052129 14344419 15569958 17111538 23354937 26104258 28688838 39156387 43033257 46709874 78312774 86066514 96014741 117469161 192029482 234938322 288044223 482928773 576088446 864132669 965857546 1448786319 1728265338 2897572638 3320280697 4346358957 6640561394 8692717914 9960842091 19921684182 29882526273 59765052546 122850385789 245700771578 335348350397 368551157367 670696700794 737102314734 1006045051191 1105653472101 2012090102382 2211306944202 3018135153573 6036270307146 12407888964689 24815777929378 37223666894067 74447333788134 111671000682201 223342001364402