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238233780 = 2232519411699
BaseRepresentation
bin11100011001100…
…10100010110100
3121121021112022100
432030302202310
5441441440110
635350102100
75621645061
oct1614624264
9547245270
10238233780
11112527624
126794a930
133a482c45
14238d5c68
1515dacbc0
hexe3328b4

238233780 has 144 divisors (see below), whose sum is σ = 779688000. Its totient is φ = 58682880.

The previous prime is 238233707. The next prime is 238233797. The reversal of 238233780 is 87332832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139371 + ... + 141069.

It is an arithmetic number, because the mean of its divisors is an integer number (5414500).

Almost surely, 2238233780 is an apocalyptic number.

238233780 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 238233780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389844000).

238233780 is an abundant number, since it is smaller than the sum of its proper divisors (541454220).

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

238233780 is a wasteful number, since it uses less digits than its factorization.

238233780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 238233780 is about 15434.8236141525. The cubic root of 238233780 is about 619.9182861438.

The spelling of 238233780 in words is "two hundred thirty-eight million, two hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 41 45 57 60 76 82 90 95 114 123 164 171 180 190 205 228 246 285 342 369 380 410 492 570 615 684 738 779 820 855 1140 1230 1476 1558 1699 1710 1845 2337 2460 3116 3398 3420 3690 3895 4674 5097 6796 7011 7380 7790 8495 9348 10194 11685 14022 15291 15580 16990 20388 23370 25485 28044 30582 32281 33980 35055 46740 50970 61164 64562 69659 70110 76455 96843 101940 129124 139318 140220 152910 161405 193686 208977 278636 290529 305820 322810 348295 387372 417954 484215 581058 626931 645620 696590 835908 968430 1044885 1162116 1253862 1323521 1393180 1452645 1936860 2089770 2507724 2647042 2905290 3134655 3970563 4179540 5294084 5810580 6269310 6617605 7941126 11911689 12538620 13235210 15882252 19852815 23823378 26470420 39705630 47646756 59558445 79411260 119116890 238233780