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22156680 = 23357132029
BaseRepresentation
bin101010010000…
…1010110001000
31112200200020210
41110201112020
521133003210
62110521120
7356220510
oct124412610
945620223
1022156680
1111563707
1275061a0
134789c80
142d2a840
151e29e20
hex1521588

22156680 has 128 divisors (see below), whose sum is σ = 81849600. Its totient is φ = 4672512.

The previous prime is 22156663. The next prime is 22156681. The reversal of 22156680 is 8665122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22156681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9906 + ... + 11934.

It is an arithmetic number, because the mean of its divisors is an integer number (639450).

Almost surely, 222156680 is an apocalyptic number.

22156680 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 22156680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924800).

22156680 is an abundant number, since it is smaller than the sum of its proper divisors (59692920).

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

22156680 is a wasteful number, since it uses less digits than its factorization.

22156680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 22156680 is about 4707.0882719575. The cubic root of 22156680 is about 280.8675473249.

The spelling of 22156680 in words is "twenty-two million, one hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2029 2184 2730 3640 4058 5460 6087 8116 10145 10920 12174 14203 16232 20290 24348 26377 28406 30435 40580 42609 48696 52754 56812 60870 71015 79131 81160 85218 105508 113624 121740 131885 142030 158262 170436 184639 211016 213045 243480 263770 284060 316524 340872 369278 395655 426090 527540 553917 568120 633048 738556 791310 852180 923195 1055080 1107834 1477112 1582620 1704360 1846390 2215668 2769585 3165240 3692780 4431336 5539170 7385560 11078340 22156680