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223022013321312 = 2534148158097531
BaseRepresentation
bin110010101101011001011011…
…111000011001000001100000
31002020122200210120022102120000
4302231121123320121001200
5213212443040402240222
62110154522025020000
764655544252624042
oct6255313370310140
91066580716272500
10223022013321312
1165075117391197
122101b1b1024600
139759b6890a00a
143d104745c5a92
151abb4ab0299ac
hexcad65be19060

223022013321312 has 120 divisors (see below), whose sum is σ = 656344434898152. Its totient is φ = 74290473561600.

The previous prime is 223022013321209. The next prime is 223022013321329. The reversal of 223022013321312 is 213123310220322.

223022013321312 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 2 + 20 + 1 + 3 + 321 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25210014 + ... + 32887517.

Almost surely, 2223022013321312 is an apocalyptic number.

It is an amenable number.

223022013321312 is an abundant number, since it is smaller than the sum of its proper divisors (433322421576840).

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

223022013321312 is a wasteful number, since it uses less digits than its factorization.

223022013321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58099034 (or 58099017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223022013321312 its reverse (213123310220322), we get a palindrome (436145323541634).

The spelling of 223022013321312 in words is "two hundred twenty-three trillion, twenty-two billion, thirteen million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1481 2592 2962 4443 5924 8886 11848 13329 17772 23696 26658 35544 39987 47392 53316 71088 79974 106632 119961 142176 159948 213264 239922 319896 426528 479844 639792 959688 1279584 1919376 3838752 58097531 116195062 174292593 232390124 348585186 464780248 522877779 697170372 929560496 1045755558 1394340744 1568633337 1859120992 2091511116 2788681488 3137266674 4183022232 4705900011 5577362976 6274533348 8366044464 9411800022 12549066696 16732088928 18823600044 25098133392 37647200088 50196266784 75294400176 86042443411 150588800352 172084886822 258127330233 344169773644 516254660466 688339547288 774381990699 1032509320932 1376679094576 1548763981398 2065018641864 2323145972097 2753358189152 3097527962796 4130037283728 4646291944194 6195055925592 6969437916291 8260074567456 9292583888388 12390111851184 13938875832582 18585167776776 24780223702368 27877751665164 37170335553552 55755503330328 74340671107104 111511006660656 223022013321312