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226260262260 = 223251257001457
BaseRepresentation
bin1101001010111000101…
…0011001110101110100
3210122000110121020010100
43102232022121311310
512201340111343020
6251535330354100
722226640332244
oct3225612316564
9718013536110
10226260262260
1187a5802398a
1237a2612b930
131844a9892b6
14ad459a3b24
155d43ad7a90
hex34ae299d74

226260262260 has 36 divisors (see below), whose sum is σ = 686322796068. Its totient is φ = 60336069888.

The previous prime is 226260262253. The next prime is 226260262279. The reversal of 226260262260 is 62262062622.

226260262260 is a `hidden beast` number, since 2 + 2 + 6 + 26 + 0 + 2 + 622 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69715009296 + 156545252964 = 264036^2 + 395658^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 628500549 + ... + 628500908.

It is an arithmetic number, because the mean of its divisors is an integer number (19064522113).

Almost surely, 2226260262260 is an apocalyptic number.

226260262260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226260262260 is an abundant number, since it is smaller than the sum of its proper divisors (460062533808).

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

226260262260 is a wasteful number, since it uses less digits than its factorization.

226260262260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257001472 (or 1257001467 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226260262260 in words is "two hundred twenty-six billion, two hundred sixty million, two hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1257001457 2514002914 3771004371 5028005828 6285007285 7542008742 11313013113 12570014570 15084017484 18855021855 22626026226 25140029140 37710043710 45252052452 56565065565 75420087420 113130131130 226260262260