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226555752 = 23359193829
BaseRepresentation
bin11011000000011…
…11011101101000
3120210022020001210
431200033131220
5430444241002
634251513120
75420456253
oct1540173550
9523266053
10226555752
11106980765
1263a587a0
1337c24677
142213609a
1514d5296c
hexd80f768

226555752 has 64 divisors (see below), whose sum is σ = 579672000. Its totient is φ = 73764864.

The previous prime is 226555751. The next prime is 226555757. The reversal of 226555752 is 257555622.

226555752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 226555752.

It is not an unprimeable number, because it can be changed into a prime (226555751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272874 + ... + 273702.

It is an arithmetic number, because the mean of its divisors is an integer number (9057375).

Almost surely, 2226555752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226555752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289836000).

226555752 is an abundant number, since it is smaller than the sum of its proper divisors (353116248).

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

226555752 is a wasteful number, since it uses less digits than its factorization.

226555752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1086 counting only the distinct ones).

The product of its digits is 210000, while the sum is 39.

The square root of 226555752 is about 15051.7690654620. The cubic root of 226555752 is about 609.6188176623.

The spelling of 226555752 in words is "two hundred twenty-six million, five hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 193 236 354 386 472 579 708 772 829 1158 1416 1544 1658 2316 2487 3316 4632 4974 6632 9948 11387 19896 22774 34161 45548 48911 68322 91096 97822 136644 146733 159997 195644 273288 293466 319994 391288 479991 586932 639988 959982 1173864 1279976 1919964 3839928 9439823 18879646 28319469 37759292 56638938 75518584 113277876 226555752