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227077860608 = 285340912
BaseRepresentation
bin1101001101111011100…
…1010010110100000000
3210201010110001112012122
43103132321102310000
512210023413014413
6252152414343412
722256125653014
oct3233671226400
9721113045178
10227077860608
11883375946a5
1238013abab68
131854b1913c1
14adc23d0544
155d90789108
hex34dee52d00

227077860608 has 54 divisors (see below), whose sum is σ = 461933852562. Its totient is φ = 111369456640.

The previous prime is 227077860599. The next prime is 227077860613. The reversal of 227077860608 is 806068770722.

It can be written as a sum of positive squares in only one way, i.e., 209939908864 + 17137951744 = 458192^2 + 130912^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 227077860608.

It is a congruent number.

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, 55504643 + ... + 55508733.

It is an arithmetic number, because the mean of its divisors is an integer number (8554330603).

Almost surely, 2227077860608 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 227077860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230966926281).

227077860608 is an abundant number, since it is smaller than the sum of its proper divisors (234855991954).

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

227077860608 is an frugal number, since it uses more digits than its factorization.

227077860608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 53.

Multiplying 227077860608 by its sum of digits (53), we get a square (12035126612224 = 34691682).

227077860608 divided by its sum of digits (53) gives a square (4284487936 = 654562).

The spelling of 227077860608 in words is "two hundred twenty-seven billion, seventy-seven million, eight hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 4091 6784 8182 13568 16364 32728 65456 130912 216823 261824 433646 523648 867292 1047296 1734584 3469168 6938336 13876672 16736281 27753344 33472562 55506688 66945124 133890248 267780496 535560992 887022893 1071121984 1774045786 2142243968 3548091572 4284487936 7096183144 14192366288 28384732576 56769465152 113538930304 227077860608