Search a number
-
+
228414456690 = 235719536117707
BaseRepresentation
bin1101010010111010010…
…0000000001101110010
3210211120121002122100020
43110232210000031302
512220243100103230
6252533202304310
722334215563420
oct3245644001562
9724517078306
10228414456690
1188963008062
1238327658096
1318702070764
14b0abb1a110
155e1cca7810
hex352e900372

228414456690 has 256 divisors, whose sum is σ = 682979143680. Its totient is φ = 47729710080.

The previous prime is 228414456593. The next prime is 228414456727. The reversal of 228414456690 is 96654414822.

228414456690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2284144566902 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12890817 + ... + 12908523.

It is an arithmetic number, because the mean of its divisors is an integer number (2667887280).

Almost surely, 2228414456690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228414456690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341489571840).

228414456690 is an abundant number, since it is smaller than the sum of its proper divisors (454564686990).

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

228414456690 is a wasteful number, since it uses less digits than its factorization.

228414456690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17857.

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 228414456690 in words is "two hundred twenty-eight billion, four hundred fourteen million, four hundred fifty-six thousand, six hundred ninety".