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220874688 = 2634137311
BaseRepresentation
bin11010010101001…
…00011111000000
3120101121121010000
431022210133000
5423020442223
633530040000
75321255346
oct1512443700
9511547100
10220874688
11103750471
1261b79000
13369b58a8
1421497996
15145ce543
hexd2a47c0

220874688 has 140 divisors (see below), whose sum is σ = 661641552. Its totient is φ = 72852480.

The previous prime is 220874663. The next prime is 220874737. The reversal of 220874688 is 886478022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 710053 + ... + 710363.

Almost surely, 2220874688 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 220874688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330820776).

220874688 is an abundant number, since it is smaller than the sum of its proper divisors (440766864).

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

220874688 is a wasteful number, since it uses less digits than its factorization.

220874688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 220874688 is about 14861.8534510336. The cubic root of 220874688 is about 604.4800651025.

The spelling of 220874688 in words is "two hundred twenty million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 274 288 311 324 411 432 548 576 622 648 822 864 933 1096 1233 1244 1296 1644 1728 1866 2192 2466 2488 2592 2799 3288 3699 3732 4384 4932 4976 5184 5598 6576 7398 7464 8397 8768 9864 9952 11097 11196 13152 14796 14928 16794 19728 19904 22194 22392 25191 26304 29592 29856 33588 39456 42607 44388 44784 50382 59184 59712 67176 78912 85214 88776 89568 100764 118368 127821 134352 170428 177552 179136 201528 236736 255642 268704 340856 355104 383463 403056 511284 537408 681712 710208 766926 806112 1022568 1150389 1363424 1533852 1612224 2045136 2300778 2726848 3067704 3451167 4090272 4601556 6135408 6902334 8180544 9203112 12270816 13804668 18406224 24541632 27609336 36812448 55218672 73624896 110437344 220874688