Search a number
-
+
226765462000 = 245371183113157
BaseRepresentation
bin1101001100110001000…
…1100101100111110000
3210200022200020000212211
43103030101211213300
512203403424241000
6252101414501504
722245313423630
oct3231421454760
9720280200784
10226765462000
1188197211a30
1237b47364894
13184cb54205c
14ad92b106c0
155d7312b7ba
hex34cc4659f0

226765462000 has 640 divisors, whose sum is σ = 702423042048. Its totient is φ = 68769792000.

The previous prime is 226765461973. The next prime is 226765462031. The reversal of 226765462000 is 264567622.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 1444365922 + ... + 1444366078.

Almost surely, 2226765462000 is an apocalyptic number.

226765462000 is a gapful number since it is divisible by the number (20) 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 226765462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351211521024).

226765462000 is an abundant number, since it is smaller than the sum of its proper divisors (475657580048).

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

226765462000 is a wasteful number, since it uses less digits than its factorization.

226765462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 226765462000 in words is "two hundred twenty-six billion, seven hundred sixty-five million, four hundred sixty-two thousand".