Search a number
-
+
22144426545672 = 23331729207952319
BaseRepresentation
bin1010000100011111001101…
…01011011001001000001000
32220101222122011100001111000
411002033212223121020020
510400303241143430142
6115033001545135000
74443611350635144
oct502174653311010
986358564301430
1022144426545672
117068442532272
1225978a378a460
13c48297505992
14567b201a4224
152860624b414c
hex1423e6ad9208

22144426545672 has 128 divisors (see below), whose sum is σ = 67376551680000. Its totient is φ = 6707709969408.

The previous prime is 22144426545583. The next prime is 22144426545697. The reversal of 22144426545672 is 27654562444122.

22144426545672 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 4 + 26 + 54 + 567 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103869672 + ... + 104082647.

It is an arithmetic number, because the mean of its divisors is an integer number (526379310000).

Almost surely, 222144426545672 is an apocalyptic number.

It is an amenable number.

22144426545672 is an abundant number, since it is smaller than the sum of its proper divisors (45232125134328).

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

22144426545672 is a wasteful number, since it uses less digits than its factorization.

22144426545672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207952380 (or 207952370 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 54.

Adding to 22144426545672 its reverse (27654562444122), we get a palindrome (49798988989794).

The spelling of 22144426545672 in words is "twenty-two trillion, one hundred forty-four billion, four hundred twenty-six million, five hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 29 34 36 51 54 58 68 72 87 102 108 116 136 153 174 204 216 232 261 306 348 408 459 493 522 612 696 783 918 986 1044 1224 1479 1566 1836 1972 2088 2958 3132 3672 3944 4437 5916 6264 8874 11832 13311 17748 26622 35496 53244 106488 207952319 415904638 623856957 831809276 1247713914 1663618552 1871570871 2495427828 3535189423 3743141742 4990855656 5614712613 6030617251 7070378846 7486283484 10605568269 11229425226 12061234502 14140757692 14972566968 18091851753 21211136538 22458850452 24122469004 28281515384 31816704807 36183703506 42422273076 44917700904 48244938008 54275555259 63633409614 72367407012 84844546152 95450114421 102520493267 108551110518 127266819228 144734814024 162826665777 190900228842 205040986534 217102221036 254533638456 307561479801 325653331554 381800457684 410081973068 434204442072 615122959602 651306663108 763600915368 820163946136 922684439403 1230245919204 1302613326216 1845368878806 2460491838408 2768053318209 3690737757612 5536106636418 7381475515224 11072213272836 22144426545672