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228130752 = 26317371889
BaseRepresentation
bin11011001100011…
…11111111000000
3120220021020120010
431212033333000
5431400141002
634345344520
75440036143
oct1546177700
9526236503
10228130752
11107857013
1264498140
1338356515
142242605a
151506446c
hexd98ffc0

228130752 has 112 divisors (see below), whose sum is σ = 656722080. Its totient is φ = 69599232.

The previous prime is 228130751. The next prime is 228130759. The reversal of 228130752 is 257031822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228130751) 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, 119824 + ... + 121712.

It is an arithmetic number, because the mean of its divisors is an integer number (5863590).

Almost surely, 2228130752 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 228130752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328361040).

228130752 is an abundant number, since it is smaller than the sum of its proper divisors (428591328).

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

228130752 is a wasteful number, since it uses less digits than its factorization.

228130752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 228130752 is about 15103.9978813558. The cubic root of 228130752 is about 611.0282326639.

It can be divided in two parts, 2281 and 30752, that added together give a palindrome (33033).

The spelling of 228130752 in words is "two hundred twenty-eight million, one hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 136 148 192 204 222 272 296 408 444 544 592 629 816 888 1088 1184 1258 1632 1776 1887 1889 2368 2516 3264 3552 3774 3778 5032 5667 7104 7548 7556 10064 11334 15096 15112 20128 22668 30192 30224 32113 40256 45336 60384 60448 64226 69893 90672 96339 120768 120896 128452 139786 181344 192678 209679 256904 279572 362688 385356 419358 513808 559144 770712 838716 1027616 1118288 1188181 1541424 1677432 2055232 2236576 2376362 3082848 3354864 3564543 4473152 4752724 6165696 6709728 7129086 9505448 13419456 14258172 19010896 28516344 38021792 57032688 76043584 114065376 228130752