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222970406472 = 233211250592
BaseRepresentation
bin1100111110101000010…
…0100110011001001000
3210022112012011020101200
43033222010212121020
512123120411001342
6250233045344200
722052262120042
oct3175204463110
9708465136350
10222970406472
1186619a88600
1237268408060
1318045219378
14ab12aa8a92
155beed8a94c
hex33ea126648

222970406472 has 108 divisors (see below), whose sum is σ = 663898160835. Its totient is φ = 67553434080.

The previous prime is 222970406459. The next prime is 222970406473. The reversal of 222970406472 is 274604079222.

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.

It can be written as a sum of positive squares in only one way, i.e., 111485203236 + 111485203236 = 333894^2 + 333894^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333894.

It is not an unprimeable number, because it can be changed into a prime (222970406473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44071479 + ... + 44076537.

Almost surely, 2222970406472 is an apocalyptic number.

222970406472 is a gapful number since it is divisible by the number (22) 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 222970406472

222970406472 is an abundant number, since it is smaller than the sum of its proper divisors (440927754363).

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

222970406472 is an equidigital number, since it uses as much as digits as its factorization.

222970406472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 222970406472 in words is "two hundred twenty-two billion, nine hundred seventy million, four hundred six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 5059 8712 10118 15177 20236 30354 40472 45531 55649 60708 91062 111298 121416 166947 182124 222596 333894 364248 445192 500841 612139 667788 1001682 1224278 1335576 1836417 2003364 2448556 3672834 4006728 4897112 5509251 7345668 11018502 14691336 22037004 25593481 44074008 51186962 76780443 102373924 153560886 204747848 230341329 281528291 307121772 460682658 563056582 614243544 844584873 921365316 1126113164 1689169746 1842730632 2252226328 2533754619 3096811201 3378339492 5067509238 6193622402 6756678984 9290433603 10135018476 12387244804 18580867206 20270036952 24774489608 27871300809 37161734412 55742601618 74323468824 111485203236 222970406472