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226985148 = 223213617951
BaseRepresentation
bin11011000011110…
…00010010111100
3120211010001002100
431201320102330
5431102011043
634305025100
75424225165
oct1541702274
9524101070
10226985148
11107144335
1264025190
1338044c50
142220876c
1514dd9cd3
hexd8784bc

226985148 has 72 divisors (see below), whose sum is σ = 628112576. Its totient is φ = 68688000.

The previous prime is 226985123. The next prime is 226985203. The reversal of 226985148 is 841589622.

226985148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24573 + ... + 32523.

Almost surely, 2226985148 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 226985148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314056288).

226985148 is an abundant number, since it is smaller than the sum of its proper divisors (401127428).

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

226985148 is a wasteful number, since it uses less digits than its factorization.

226985148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8035 (or 8030 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 226985148 is about 15066.0262843259. The cubic root of 226985148 is about 610.0037158244.

The spelling of 226985148 in words is "two hundred twenty-six million, nine hundred eighty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 156 183 234 244 366 468 549 732 793 1098 1586 2196 2379 3172 4758 7137 7951 9516 14274 15902 23853 28548 31804 47706 71559 95412 103363 143118 206726 286236 310089 413452 485011 620178 930267 970022 1240356 1455033 1860534 1940044 2910066 3721068 4365099 5820132 6305143 8730198 12610286 17460396 18915429 25220572 37830858 56746287 75661716 113492574 226985148