Search a number
-
+
22731742000 = 2453113133331
BaseRepresentation
bin10101001010111010…
…101101101100110000
32011200012210010210101
4111022322231230300
5333023311221000
614235352042144
71433212422202
oct251272555460
964605703711
1022731742000
119705526240
1244a4993354
1321b3626216
14115901c772
158d09c0e6a
hex54aeadb30

22731742000 has 160 divisors (see below), whose sum is σ = 61898323968. Its totient is φ = 7999200000.

The previous prime is 22731741983. The next prime is 22731742027. The reversal of 22731742000 is 24713722.

It is a self number, because there is not a number n which added to its sum of digits gives 22731742000.

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, 665335 + ... + 698665.

Almost surely, 222731742000 is an apocalyptic number.

22731742000 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 22731742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949161984).

22731742000 is an abundant number, since it is smaller than the sum of its proper divisors (39166581968).

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

22731742000 is a wasteful number, since it uses less digits than its factorization.

22731742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33396 (or 33380 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The spelling of 22731742000 in words is "twenty-two billion, seven hundred thirty-one million, seven hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 17050 22000 27280 31000 33331 34100 42625 62000 66662 68200 85250 133324 136400 166655 170500 266648 333310 341000 366641 533296 666620 682000 733282 833275 1033261 1333240 1466564 1666550 1833205 2066522 2666480 2933128 3333100 3666410 4133044 4166375 5166305 5866256 6666200 7332820 8266088 8332750 9166025 10332610 11365871 13332400 14665640 16532176 16665500 18332050 20665220 22731742 25831525 29331280 33331000 36664100 41330440 45463484 45830125 51663050 56829355 66662000 73328200 82660880 90926968 91660250 103326100 113658710 129157625 146656400 181853936 183320500 206652200 227317420 258315250 284146775 366641000 413304400 454634840 516630500 568293550 733282000 909269680 1033261000 1136587100 1420733875 2066522000 2273174200 2841467750 4546348400 5682935500 11365871000 22731742000