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22000680 = 23335131567
BaseRepresentation
bin101001111101…
…1010000101000
31112101202021000
41103323100220
521113010210
62103315000
7355000632
oct123732050
945352230
1022000680
1111467489
12744ba60
134733c70
142cc9a52
151de8ac0
hex14fb428

22000680 has 128 divisors (see below), whose sum is σ = 79027200. Its totient is φ = 5412096.

The previous prime is 22000679. The next prime is 22000721. The reversal of 22000680 is 8600022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13257 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 222000680 is an apocalyptic number.

22000680 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 22000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39513600).

22000680 is an abundant number, since it is smaller than the sum of its proper divisors (57026520).

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

22000680 is a wasteful number, since it uses less digits than its factorization.

22000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22000680 is about 4690.4882475069. The cubic root of 22000680 is about 280.2068199854.

The spelling of 22000680 in words is "twenty-two million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1567 1755 2340 2808 3134 3510 4680 4701 6268 7020 7835 9402 12536 14040 14103 15670 18804 20371 23505 28206 31340 37608 40742 42309 47010 56412 61113 62680 70515 81484 84618 94020 101855 112824 122226 141030 162968 169236 183339 188040 203710 211545 244452 282060 305565 338472 366678 407420 423090 488904 550017 564120 611130 733356 814840 846180 916695 1100034 1222260 1466712 1692360 1833390 2200068 2444520 2750085 3666780 4400136 5500170 7333560 11000340 22000680