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226750464 = 212326151
BaseRepresentation
bin11011000001111…
…11000000000000
3120210200010011100
431200333000000
5431022003324
634300014400
75422230033
oct1540770000
9523603140
10226750464
11106aa3a86
1263b31400
1337c92195
142218701a
1514d904c9
hexd83f000

226750464 has 78 divisors (see below), whose sum is σ = 655083416. Its totient is φ = 75571200.

The previous prime is 226750451. The next prime is 226750477. The reversal of 226750464 is 464057622.

It is an interprime number because it is at equal distance from previous prime (226750451) and next prime (226750477).

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 5 ways as a sum of consecutive naturals, for example, 33789 + ... + 39939.

Almost surely, 2226750464 is an apocalyptic number.

226750464 is a gapful number since it is divisible by the number (24) 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 226750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327541708).

226750464 is an abundant number, since it is smaller than the sum of its proper divisors (428332952).

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

226750464 is an equidigital number, since it uses as much as digits as its factorization.

226750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 226750464 is about 15058.2357532348. The cubic root of 226750464 is about 609.7934120819.

The spelling of 226750464 in words is "two hundred twenty-six million, seven hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 6151 9216 12288 12302 18432 18453 24604 36864 36906 49208 55359 73812 98416 110718 147624 196832 221436 295248 393664 442872 590496 787328 885744 1180992 1574656 1771488 2361984 3149312 3542976 4723968 6298624 7085952 9447936 12597248 14171904 18895872 25194496 28343808 37791744 56687616 75583488 113375232 226750464