Search a number
-
+
21914880 = 283513439
BaseRepresentation
bin101001110011…
…0010100000000
31112020101120020
41103212110000
521102234010
62101413440
7354162531
oct123462400
945211506
1021914880
1111408a79
12740a280
134703bb0
142ca6688
151dcd470
hex14e6500

21914880 has 144 divisors (see below), whose sum is σ = 75546240. Its totient is φ = 5382144.

The previous prime is 21914857. The next prime is 21914891. The reversal of 21914880 is 8841912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49701 + ... + 50139.

Almost surely, 221914880 is an apocalyptic number.

21914880 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 21914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37773120).

21914880 is an abundant number, since it is smaller than the sum of its proper divisors (53631360).

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

21914880 is a wasteful number, since it uses less digits than its factorization.

21914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 21914880 is about 4681.3331434539. Note that the first 3 decimals coincide. The cubic root of 21914880 is about 279.8420878294.

The spelling of 21914880 in words is "twenty-one million, nine hundred fourteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 439 480 520 624 640 768 780 832 878 960 1040 1248 1280 1317 1560 1664 1756 1920 2080 2195 2496 2634 3120 3328 3512 3840 4160 4390 4992 5268 5707 6240 6585 7024 8320 8780 9984 10536 11414 12480 13170 14048 16640 17121 17560 21072 22828 24960 26340 28096 28535 34242 35120 42144 45656 49920 52680 56192 57070 68484 70240 84288 85605 91312 105360 112384 114140 136968 140480 168576 171210 182624 210720 228280 273936 280960 337152 342420 365248 421440 456560 547872 561920 684840 730496 842880 913120 1095744 1369680 1460992 1685760 1826240 2191488 2739360 3652480 4382976 5478720 7304960 10957440 21914880