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220008840601 = 112426412
BaseRepresentation
bin1100110011100110001…
…1000111110110011001
3210000212210110002202211
43030321203013312121
512101034230344401
6245023132555121
721616011201154
oct3147143076631
9700783402684
10220008840601
118533a289300
1236780622aa1
13179927a0a24
14a911628c9b
155ac9d89951
hex33398c7d99

220008840601 has 9 divisors (see below), whose sum is σ = 241833570559. Its totient is φ = 200003346400.

The previous prime is 220008840593. The next prime is 220008840631. The reversal of 220008840601 is 106048800022.

The square root of 220008840601 is 469051.

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

It can be written as a sum of positive squares in only one way, i.e., 141451962201 + 78556878400 = 376101^2 + 280280^2 .

It is not a de Polignac number, because 220008840601 - 23 = 220008840593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220008840631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5138241 + ... + 5180881.

Almost surely, 2220008840601 is an apocalyptic number.

220008840601 is the 469051-st square number.

220008840601 is the 234526-th centered octagonal number.

It is an amenable number.

220008840601 is a deficient number, since it is larger than the sum of its proper divisors (21824729958).

220008840601 is an frugal number, since it uses more digits than its factorization.

220008840601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85304 (or 42652 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The spelling of 220008840601 in words is "two hundred twenty billion, eight million, eight hundred forty thousand, six hundred one".

Divisors: 1 11 121 42641 469051 5159561 1818254881 20000803691 220008840601