Search a number
-
+
226704576 = 2637224097
BaseRepresentation
bin11011000001100…
…11110011000000
3120210120210012210
431200303303000
5431014021301
634255022120
75421646200
oct1540636300
9523523183
10226704576
11106a7255a
1263b0a940
1337c77327
1422174400
1514d81ad6
hexd833cc0

226704576 has 84 divisors (see below), whose sum is σ = 697781688. Its totient is φ = 64770048.

The previous prime is 226704521. The next prime is 226704589. The reversal of 226704576 is 675407622.

It is a happy number.

226704576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

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, 2641 + ... + 21456.

Almost surely, 2226704576 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 226704576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348890844).

226704576 is an abundant number, since it is smaller than the sum of its proper divisors (471077112).

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

226704576 is a wasteful number, since it uses less digits than its factorization.

226704576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24126 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 226704576 is about 15056.7119916667. The cubic root of 226704576 is about 609.7522742199.

The spelling of 226704576 in words is "two hundred twenty-six million, seven hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 24097 48194 72291 96388 144582 168679 192776 289164 337358 385552 506037 578328 674716 771104 1012074 1156656 1180753 1349432 1542208 2024148 2313312 2361506 2698864 3542259 4048296 4626624 4723012 5397728 7084518 8096592 9446024 10795456 14169036 16193184 18892048 28338072 32386368 37784096 56676144 75568192 113352288 226704576