Search a number
-
+
22601363120 = 2457393110267
BaseRepresentation
bin10101000011001001…
…010110111010110000
32011100010110012120222
4111003021112322300
5332241422104440
614214413352212
71430040262640
oct250311267260
964303405528
1022601363120
1196489756a6
124469198668
13219260715b
1411459a0520
158c431a2b5
hex543256eb0

22601363120 has 80 divisors (see below), whose sum is σ = 60076178688. Its totient is φ = 7746312960.

The previous prime is 22601363117. The next prime is 22601363123. The reversal of 22601363120 is 2136310622.

It is an interprime number because it is at equal distance from previous prime (22601363117) and next prime (22601363123).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×226013631202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22601363120.

It is not an unprimeable number, because it can be changed into a prime (22601363123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2196227 + ... + 2206493.

Almost surely, 222601363120 is an apocalyptic number.

22601363120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22601363120 is an abundant number, since it is smaller than the sum of its proper divisors (37474815568).

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

22601363120 is a wasteful number, since it uses less digits than its factorization.

22601363120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 22601363120 its reverse (2136310622), we get a palindrome (24737673742).

The spelling of 22601363120 in words is "twenty-two billion, six hundred one million, three hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3931 7862 10267 15724 19655 20534 27517 31448 39310 41068 51335 55034 62896 71869 78620 82136 102670 110068 137585 143738 157240 164272 205340 220136 275170 287476 314480 359345 410680 440272 550340 574952 718690 821360 1100680 1149904 1437380 2201360 2874760 5749520 40359577 80719154 161438308 201797885 282517039 322876616 403595770 565034078 645753232 807191540 1130068156 1412585195 1614383080 2260136312 2825170390 3228766160 4520272624 5650340780 11300681560 22601363120