Search a number
-
+
226397464020 = 223457135692699
BaseRepresentation
bin1101001011011001010…
…1110010010111010100
3210122101000202210120000
43102312111302113110
512202130222322040
6252001111211300
722233224456340
oct3226625622724
9718330683500
10226397464020
1188018514672
1237a64076b30
1318470226a80
14ad59cba620
155d50b8a130
hex34b65725d4

226397464020 has 480 divisors, whose sum is σ = 875974176000. Its totient is φ = 47665760256.

The previous prime is 226397464001. The next prime is 226397464039. The reversal of 226397464020 is 20464793622.

226397464020 is a `hidden beast` number, since 2 + 2 + 639 + 7 + 4 + 6 + 4 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226397464001) and next prime (226397464039).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83880631 + ... + 83883329.

It is an arithmetic number, because the mean of its divisors is an integer number (1824946200).

Almost surely, 2226397464020 is an apocalyptic number.

226397464020 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 226397464020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987088000).

226397464020 is an abundant number, since it is smaller than the sum of its proper divisors (649576711980).

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

226397464020 is a wasteful number, since it uses less digits than its factorization.

226397464020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 226397464020 in words is "two hundred twenty-six billion, three hundred ninety-seven million, four hundred sixty-four thousand, twenty".