Search a number
-
+
222612564845360 = 24516321559791851
BaseRepresentation
bin110010100111011100000110…
…110110011010001100110000
31002012012112221101202202012102
4302213130012312122030300
5213134241013100022420
62105242444523115532
764614140611200644
oct6247340666321460
91065175841682172
10222612564845360
1164a275053a2a88
1220b73981672ba8
13972a375936601
143cd8711628c24
151ab09e4db7a75
hexca7706d9a330

222612564845360 has 80 divisors (see below), whose sum is σ = 520774327476480. Its totient is φ = 88494520723200.

The previous prime is 222612564845303. The next prime is 222612564845381. The reversal of 222612564845360 is 63548465216222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2226125648453602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222612564845296 and 222612564845305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280733435 + ... + 281525285.

It is an arithmetic number, because the mean of its divisors is an integer number (6509679093456).

Almost surely, 2222612564845360 is an apocalyptic number.

222612564845360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222612564845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260387163738240).

222612564845360 is an abundant number, since it is smaller than the sum of its proper divisors (298161762631120).

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

222612564845360 is a wasteful number, since it uses less digits than its factorization.

222612564845360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813586 (or 813580 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 56.

The spelling of 222612564845360 in words is "two hundred twenty-two trillion, six hundred twelve billion, five hundred sixty-four million, eight hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 13040 21559 43118 86236 107795 172472 215590 344944 431180 791851 862360 1583702 1724720 3167404 3514117 3959255 6334808 7028234 7918510 12669616 14056468 15837020 17570585 28112936 31674040 35141170 56225872 63348080 70282340 129071713 140564680 258143426 281129360 516286852 645358565 1032573704 1290717130 2065147408 2581434260 5162868520 10325737040 17071515709 34143031418 68286062836 85357578545 136572125672 170715157090 273144251344 341430314180 682860628360 1365721256720 2782657060567 5565314121134 11130628242268 13913285302835 22261256484536 27826570605670 44522512969072 55653141211340 111306282422680 222612564845360