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228274032 = 24371913557
BaseRepresentation
bin11011001101100…
…10111101110000
3120220112112002210
431212302331300
5431414232112
634352412120
75441203650
oct1546627560
9526475083
10228274032
11107944728
1264547040
13383a67bc
1422462360
1515091b3c
hexd9b2f70

228274032 has 80 divisors (see below), whose sum is σ = 677670912. Its totient is φ = 64861440.

The previous prime is 228273989. The next prime is 228274063. The reversal of 228274032 is 230472822.

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, 62398 + ... + 65954.

Almost surely, 2228274032 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 228274032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338835456).

228274032 is an abundant number, since it is smaller than the sum of its proper divisors (449396880).

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

228274032 is a wasteful number, since it uses less digits than its factorization.

228274032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 228274032 is about 15108.7402519204. The cubic root of 228274032 is about 611.1561268682.

The spelling of 228274032 in words is "two hundred twenty-eight million, two hundred seventy-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 191 336 382 573 764 1146 1337 1528 2292 2674 3056 3557 4011 4584 5348 7114 8022 9168 10671 10696 14228 16044 21342 21392 24899 28456 32088 42684 49798 56912 64176 74697 85368 99596 149394 170736 199192 298788 398384 597576 679387 1195152 1358774 2038161 2717548 4076322 4755709 5435096 8152644 9511418 10870192 14267127 16305288 19022836 28534254 32610576 38045672 57068508 76091344 114137016 228274032