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22114680 = 2335723761
BaseRepresentation
bin101010001011…
…1000101111000
31112121112122020
41110113011320
521130132210
62105554440
7355654200
oct124270570
945545566
1022114680
11115350a5
1274a5a20
134773b13
142d19400
151e1c770
hex1517178

22114680 has 96 divisors (see below), whose sum is σ = 77196240. Its totient is φ = 5053440.

The previous prime is 22114667. The next prime is 22114681. The reversal of 22114680 is 8641122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22114680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22114681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4000 + ... + 7760.

Almost surely, 222114680 is an apocalyptic number.

22114680 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 22114680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38598120).

22114680 is an abundant number, since it is smaller than the sum of its proper divisors (55081560).

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

22114680 is a wasteful number, since it uses less digits than its factorization.

22114680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 22114680 is about 4702.6247989819. The cubic root of 22114680 is about 280.6899650851.

The spelling of 22114680 in words is "twenty-two million, one hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3761 5880 7522 11283 15044 18805 22566 26327 30088 37610 45132 52654 56415 75220 78981 90264 105308 112830 131635 150440 157962 184289 210616 225660 263270 315924 368578 394905 451320 526540 552867 631848 737156 789810 921445 1053080 1105734 1474312 1579620 1842890 2211468 2764335 3159240 3685780 4422936 5528670 7371560 11057340 22114680