Search a number
-
+
222363260928 = 2113285314143
BaseRepresentation
bin1100111100010111100…
…0100001100000000000
3210020221212201001021200
43033011320201200000
512120344443322203
6250052520221200
722031240350314
oct3170570414000
9706855631250
10222363260928
118633829a126
123711900a800
1317c794bb253
14aa961c1b44
155bb690a9a3
hex33c5e21800

222363260928 has 144 divisors (see below), whose sum is σ = 643024287360. Its totient is φ = 74028957696.

The previous prime is 222363260909. The next prime is 222363260981. The reversal of 222363260928 is 829062363222.

222363260928 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 6 + 32 + 609 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2223632609282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15715425 + ... + 15729567.

It is an arithmetic number, because the mean of its divisors is an integer number (4465446440).

Almost surely, 2222363260928 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 222363260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321512143680).

222363260928 is an abundant number, since it is smaller than the sum of its proper divisors (420661026432).

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

222363260928 is a wasteful number, since it uses less digits than its factorization.

222363260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15024 (or 15001 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 222363260928 in words is "two hundred twenty-two billion, three hundred sixty-three million, two hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 853 1024 1152 1536 1706 2048 2304 2559 3072 3412 4608 5118 6144 6824 7677 9216 10236 13648 14143 15354 18432 20472 27296 28286 30708 40944 42429 54592 56572 61416 81888 84858 109184 113144 122832 127287 163776 169716 218368 226288 245664 254574 327552 339432 436736 452576 491328 509148 655104 678864 873472 905152 982656 1018296 1310208 1357728 1746944 1810304 1965312 2036592 2620416 2715456 3620608 3930624 4073184 5240832 5430912 7241216 7861248 8146368 10861824 12063979 14482432 15722496 16292736 21723648 24127958 28964864 32585472 36191937 43447296 48255916 65170944 72383874 86894592 96511832 108575811 130341888 144767748 193023664 217151622 260683776 289535496 386047328 434303244 579070992 772094656 868606488 1158141984 1544189312 1737212976 2316283968 3088378624 3474425952 4632567936 6176757248 6948851904 9265135872 12353514496 13897703808 18530271744 24707028992 27795407616 37060543488 55590815232 74121086976 111181630464 222363260928