Search a number
-
+
222930340992 = 273446372
BaseRepresentation
bin1100111110011110101…
…1110000110010000000
3210022102101202200220000
43033213223300302000
512123030131402432
6250225054520000
722051264430052
oct3174753606200
9708371680800
10222930340992
11865a9402837
1237256b06000
1318039b2ba98
14ab0b6398d2
155beb5c457c
hex33e7af0c80

222930340992 has 120 divisors (see below), whose sum is σ = 663580187985. Its totient is φ = 74294088192.

The previous prime is 222930340957. The next prime is 222930340993. The reversal of 222930340992 is 299043039222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222930340992 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 2 ways, for example, as 208176837696 + 14753503296 = 456264^2 + 121464^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333864.

It is not an unprimeable number, because it can be changed into a prime (222930340993) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 48074098 + ... + 48078734.

Almost surely, 2222930340992 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 222930340992

222930340992 is an abundant number, since it is smaller than the sum of its proper divisors (440649846993).

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

222930340992 is an frugal number, since it uses more digits than its factorization.

222930340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9300 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 222930340992 in words is "two hundred twenty-two billion, nine hundred thirty million, three hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 4637 5184 9274 10368 13911 18548 27822 37096 41733 55644 74192 83466 111288 125199 148384 166932 222576 250398 296768 333864 375597 445152 500796 593536 667728 751194 890304 1001592 1335456 1502388 1780608 2003184 2670912 3004776 4006368 5341824 6009552 8012736 12019104 16025472 21501769 24038208 43003538 48076416 64505307 86007076 129010614 172014152 193515921 258021228 344028304 387031842 516042456 580547763 688056608 774063684 1032084912 1161095526 1376113216 1548127368 1741643289 2064169824 2322191052 2752226432 3096254736 3483286578 4128339648 4644382104 6192509472 6966573156 8256679296 9288764208 12385018944 13933146312 18577528416 24770037888 27866292624 37155056832 55732585248 74310113664 111465170496 222930340992