Search a number
-
+
2192884920 = 233353754877
BaseRepresentation
bin1000001010110100…
…1100010010111000
312122211022002121000
42002231030102320
513442334304140
61001333045000
7105225133332
oct20255142270
95584262530
102192884920
11a2590a996
12512486760
1328c40cc55
1416b348452
15cc7b3a30
hex82b4c4b8

2192884920 has 128 divisors (see below), whose sum is σ = 7507310400. Its totient is φ = 568954368.

The previous prime is 2192884873. The next prime is 2192884921. The reversal of 2192884920 is 294882912.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192884921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12522 + ... + 67398.

Almost surely, 22192884920 is an apocalyptic number.

2192884920 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 2192884920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753655200).

2192884920 is an abundant number, since it is smaller than the sum of its proper divisors (5314425480).

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

2192884920 is a wasteful number, since it uses less digits than its factorization.

2192884920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54934 (or 54924 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2192884920 is about 46828.2491665021. The cubic root of 2192884920 is about 1299.1878398579.

The spelling of 2192884920 in words is "two billion, one hundred ninety-two million, eight hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 360 370 444 540 555 666 740 888 999 1080 1110 1332 1480 1665 1998 2220 2664 3330 3996 4440 4995 6660 7992 9990 13320 19980 39960 54877 109754 164631 219508 274385 329262 439016 493893 548770 658524 823155 987786 1097540 1317048 1481679 1646310 1975572 2030449 2195080 2469465 2963358 3292620 3951144 4060898 4938930 5926716 6091347 6585240 7408395 8121796 9877860 10152245 11853432 12182694 14816790 16243592 18274041 19755720 20304490 24365388 29633580 30456735 36548082 40608980 48730776 54822123 59267160 60913470 73096164 81217960 91370205 109644246 121826940 146192328 182740410 219288492 243653880 274110615 365480820 438576984 548221230 730961640 1096442460 2192884920