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22681437720 = 2335199947999
BaseRepresentation
bin10101000111111010…
…110100011000011000
32011112201010102021220
4111013322310120120
5332422422001340
614230353532040
71432032016404
oct250772643030
964481112256
1022681437720
11968a097957
12448bb74020
1321a6092486
141152486104
158cb385ed0
hex547eb4618

22681437720 has 64 divisors (see below), whose sum is σ = 71625600000. Its totient is φ = 5730046848.

The previous prime is 22681437703. The next prime is 22681437731. The reversal of 22681437720 is 2773418622.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4971720 + ... + 4976279.

It is an arithmetic number, because the mean of its divisors is an integer number (1119150000).

Almost surely, 222681437720 is an apocalyptic number.

22681437720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22681437720 is an abundant number, since it is smaller than the sum of its proper divisors (48944162280).

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

22681437720 is a wasteful number, since it uses less digits than its factorization.

22681437720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9948032 (or 9948028 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 22681437720 in words is "twenty-two billion, six hundred eighty-one million, four hundred thirty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 9947999 19895998 29843997 39791996 49739995 59687994 79583992 99479990 119375988 149219985 189011981 198959980 238751976 298439970 378023962 397919960 567035943 596879940 756047924 945059905 1134071886 1193759880 1512095848 1890119810 2268143772 2835179715 3780239620 4536287544 5670359430 7560479240 11340718860 22681437720