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222040748944 = 2472168292
BaseRepresentation
bin1100111011001010101…
…0001111001110010000
3210020010101211202000101
43032302222033032100
512114214412431234
6250000515502144
722020243140200
oct3166252171620
9706111752011
10222040748944
118619223a0a3
1237048bb7954
1317c2773a861
14aa6542c400
155b98451814
hex33b2a8f390

222040748944 has 45 divisors (see below), whose sum is σ = 500471069457. Its totient is φ = 95154666432.

The previous prime is 222040748903. The next prime is 222040748983. The reversal of 222040748944 is 449847040222.

The square root of 222040748944 is 471212.

It is a perfect power (a square), and thus also a powerful number.

222040748944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4437158544 + 217603590400 = 66612^2 + 466480^2 .

It is a super-2 number, since 2×2220407489442 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222040748894 and 222040748903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13185522 + ... + 13202350.

Almost surely, 2222040748944 is an apocalyptic number.

222040748944 is the 471212-nd square number.

It is an amenable number.

222040748944 is an abundant number, since it is smaller than the sum of its proper divisors (278430320513).

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

222040748944 is an frugal number, since it uses more digits than its factorization.

222040748944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33680 (or 16838 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 222040748944 in words is "two hundred twenty-two billion, forty million, seven hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 16829 33658 67316 117803 134632 235606 269264 471212 824621 942424 1649242 1884848 3298484 6596968 13193936 283215241 566430482 1132860964 1982506687 2265721928 3965013374 4531443856 7930026748 13877546809 15860053496 27755093618 31720106992 55510187236 111020374472 222040748944