Search a number
-
+
211040229888 = 293245798661
BaseRepresentation
bin1100010010001011111…
…0100101101000000000
3202011201202102110202200
43010202332211220000
511424202244324023
6240541152313200
721150526233105
oct3044276455000
9664652373680
10211040229888
1181557787334
1234a98b42800
1316b93690b97
14a300464aac
15575280d743
hex3122fa5a00

211040229888 has 60 divisors (see below), whose sum is σ = 609076405938. Its totient is φ = 70346741760.

The previous prime is 211040229863. The next prime is 211040229923. The reversal of 211040229888 is 888922040112.

211040229888 is a `hidden beast` number, since 211 + 0 + 402 + 29 + 8 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195477168384 + 15563061504 = 442128^2 + 124752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22894723 + ... + 22903938.

Almost surely, 2211040229888 is an apocalyptic number.

It is an amenable number.

211040229888 is an abundant number, since it is smaller than the sum of its proper divisors (398036176050).

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

211040229888 is an equidigital number, since it uses as much as digits as its factorization.

211040229888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45798685 (or 45798666 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 211040229888 in words is "two hundred eleven billion, forty million, two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 45798661 91597322 137395983 183194644 274791966 366389288 412187949 549583932 732778576 824375898 1099167864 1465557152 1648751796 2198335728 2931114304 3297503592 4396671456 5862228608 6595007184 8793342912 11724457216 13190014368 17586685824 23448914432 26380028736 35173371648 52760057472 70346743296 105520114944 211040229888