Search a number
-
+
2196528840 = 233451161631
BaseRepresentation
bin1000001011101100…
…0101111011001000
312200002011020010000
42002323011323020
513444302410330
61001543123000
7105301121112
oct20273057310
95602136100
102196528840
11a279796a0
12513743460
132900b770c
1416ba163b2
15ccc83560
hex82ec5ec8

2196528840 has 160 divisors (see below), whose sum is σ = 8054069760. Its totient is φ = 532483200.

The previous prime is 2196528787. The next prime is 2196528863. The reversal of 2196528840 is 488256912.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4825 + ... + 66455.

It is an arithmetic number, because the mean of its divisors is an integer number (50337936).

Almost surely, 22196528840 is an apocalyptic number.

2196528840 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 2196528840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027034880).

2196528840 is an abundant number, since it is smaller than the sum of its proper divisors (5857540920).

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

2196528840 is a wasteful number, since it uses less digits than its factorization.

2196528840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61665 (or 61652 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2196528840 is about 46867.1403010681. The cubic root of 2196528840 is about 1299.9070623895.

It can be divided in two parts, 21965 and 28840, that added together give a palindrome (50805).

The spelling of 2196528840 in words is "two billion, one hundred ninety-six million, five hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 61631 123262 184893 246524 308155 369786 493048 554679 616310 677941 739572 924465 1109358 1232620 1355882 1479144 1664037 1848930 2033823 2218716 2465240 2711764 2773395 3328074 3389705 3697860 4067646 4437432 4992111 5423528 5546790 6101469 6656148 6779410 7395720 8135292 8320185 9984222 10169115 11093580 12202938 13312296 13558820 16270584 16640370 18304407 19968444 20338230 22187160 24405876 24960555 27117640 30507345 33280740 36608814 39936888 40676460 48811752 49921110 54913221 61014690 66561480 73217628 81352920 91522035 99842220 109826442 122029380 146435256 183044070 199684440 219652884 244058760 274566105 366088140 439305768 549132210 732176280 1098264420 2196528840