Search a number
-
+
224552107350 = 232522333536067
BaseRepresentation
bin1101000100100001011…
…0010011110101010110
3210110121102101222002200
43101020112103311112
512134340314413400
6251054030545330
722136416263624
oct3211026236526
9713542358080
10224552107350
11872608a090a
123762a068246
1318237b15c4c
14ac22b98514
155c93b72b00
hex3448593d56

224552107350 has 144 divisors (see below), whose sum is σ = 607702457232. Its totient is φ = 59444858880.

The previous prime is 224552107337. The next prime is 224552107357. The reversal of 224552107350 is 53701255422.

224552107350 is a `hidden beast` number, since 2 + 24 + 552 + 10 + 73 + 5 + 0 = 666.

224552107350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224552107357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37009017 + ... + 37015083.

It is an arithmetic number, because the mean of its divisors is an integer number (4220155953).

Almost surely, 2224552107350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224552107350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303851228616).

224552107350 is an abundant number, since it is smaller than the sum of its proper divisors (383150349882).

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

224552107350 is a wasteful number, since it uses less digits than its factorization.

224552107350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6671 (or 6663 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 224552107350 in words is "two hundred twenty-four billion, five hundred fifty-two million, one hundred seven thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 233 353 450 466 699 706 1059 1165 1398 1765 2097 2118 2330 3177 3495 3530 4194 5295 5825 6067 6354 6990 8825 10485 10590 11650 12134 15885 17475 17650 18201 20970 26475 30335 31770 34950 36402 52425 52950 54603 60670 79425 82249 91005 104850 109206 151675 158850 164498 182010 246747 273015 303350 411245 455025 493494 546030 740241 822490 910050 1233735 1365075 1413611 1480482 2056225 2141651 2467470 2730150 2827222 3701205 4112450 4240833 4283302 6168675 6424953 7068055 7402410 8481666 10708255 12337350 12722499 12849906 14136110 18506025 19274859 21204165 21416510 25444998 32124765 35340275 37012050 38549718 42408330 53541275 63612495 64249530 70680550 96374295 106020825 107082550 127224990 160623825 192748590 212041650 318062475 321247650 481871475 499004683 636124950 963742950 998009366 1497014049 2495023415 2994028098 4491042147 4990046830 7485070245 8982084294 12475117075 14970140490 22455210735 24950234150 37425351225 44910421470 74850702450 112276053675 224552107350