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226761040 = 245111272029
BaseRepresentation
bin11011000010000…
…01100101010000
3120210200122200001
431201001211100
5431022323130
634300135344
75422302622
oct1541014520
9523618601
10226761040
11107000a20
1263b37554
1337c96c3c
142218ac12
1514d936ca
hexd841950

226761040 has 80 divisors (see below), whose sum is σ = 579962880. Its totient is φ = 81768960.

The previous prime is 226761019. The next prime is 226761091. The reversal of 226761040 is 40167622.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110746 + ... + 112774.

It is an arithmetic number, because the mean of its divisors is an integer number (7249536).

Almost surely, 2226761040 is an apocalyptic number.

226761040 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 226761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289981440).

226761040 is an abundant number, since it is smaller than the sum of its proper divisors (353201840).

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

226761040 is a wasteful number, since it uses less digits than its factorization.

226761040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 226761040 is about 15058.5869190970. The cubic root of 226761040 is about 609.8028925107.

It can be divided in two parts, 22676 and 1040, that added together give a square (23716 = 1542).

The spelling of 226761040 in words is "two hundred twenty-six million, seven hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 176 220 254 440 508 635 880 1016 1270 1397 2029 2032 2540 2794 4058 5080 5588 6985 8116 10145 10160 11176 13970 16232 20290 22319 22352 27940 32464 40580 44638 55880 81160 89276 111595 111760 162320 178552 223190 257683 357104 446380 515366 892760 1030732 1288415 1785520 2061464 2576830 2834513 4122928 5153660 5669026 10307320 11338052 14172565 20614640 22676104 28345130 45352208 56690260 113380520 226761040