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228819960 = 23325738707
BaseRepresentation
bin11011010001110…
…00001111111000
3120221120020222100
431220320033320
5432034214320
634412223400
75445636405
oct1550701770
9527506870
10228819960
11108187906
126476ab60
1338538135
14225652ac
151514d790
hexda383f8

228819960 has 96 divisors (see below), whose sum is σ = 753938640. Its totient is φ = 60175872.

The previous prime is 228819911. The next prime is 228819971. The reversal of 228819960 is 69918822.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 21927 + ... + 30633.

Almost surely, 2228819960 is an apocalyptic number.

228819960 is a gapful number since it is divisible by the number (20) 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 228819960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376969320).

228819960 is an abundant number, since it is smaller than the sum of its proper divisors (525118680).

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

228819960 is a wasteful number, since it uses less digits than its factorization.

228819960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8790 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 228819960 is about 15126.7960917043. The cubic root of 228819960 is about 611.6429417931.

The spelling of 228819960 in words is "two hundred twenty-eight million, eight hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8707 8760 13140 17414 26121 26280 34828 43535 52242 69656 78363 87070 104484 130605 156726 174140 208968 261210 313452 348280 391815 522420 626904 635611 783630 1044840 1271222 1567260 1906833 2542444 3134520 3178055 3813666 5084888 5720499 6356110 7627332 9534165 11440998 12712220 15254664 19068330 22881996 25424440 28602495 38136660 45763992 57204990 76273320 114409980 228819960