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220489984 = 28111319317
BaseRepresentation
bin11010010010001…
…10100100000000
3120100220001101201
431021012210000
5422421134414
633513510544
75315063641
oct1511064400
9510801351
10220489984
11103508430
1261a12454
13368ac760
14213d76c8
1514555574
hexd246900

220489984 has 144 divisors (see below), whose sum is σ = 545993280. Its totient is φ = 87367680.

The previous prime is 220489979. The next prime is 220489999. The reversal of 220489984 is 489984022.

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, 695394 + ... + 695710.

It is an arithmetic number, because the mean of its divisors is an integer number (3791620).

Almost surely, 2220489984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272996640).

220489984 is an abundant number, since it is smaller than the sum of its proper divisors (325503296).

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

220489984 is a wasteful number, since it uses less digits than its factorization.

220489984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 220489984 is about 14848.9051448247. The cubic root of 220489984 is about 604.1289141964.

The spelling of 220489984 in words is "two hundred twenty million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 128 143 152 176 208 209 247 256 286 304 317 352 416 418 494 572 608 634 704 832 836 988 1144 1216 1268 1408 1664 1672 1976 2288 2432 2536 2717 2816 3328 3344 3487 3952 4121 4576 4864 5072 5434 6023 6688 6974 7904 8242 9152 10144 10868 12046 13376 13948 15808 16484 18304 20288 21736 24092 26752 27896 31616 32968 36608 40576 43472 45331 48184 53504 55792 63232 65936 66253 78299 81152 86944 90662 96368 111584 131872 132506 156598 173888 181324 192736 223168 263744 265012 313196 347776 362648 385472 446336 527488 530024 626392 695552 725296 770944 861289 892672 1054976 1060048 1252784 1450592 1541888 1722578 2120096 2505568 2901184 3445156 4240192 5011136 5802368 6890312 8480384 10022272 11604736 13780624 16960768 20044544 27561248 55122496 110244992 220489984