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29220894640 = 2457232299907
BaseRepresentation
bin11011001101101100…
…110111011110110000
32210102110021020202001
4123031230313132300
5434321022112030
621231321103344
72053056335440
oct331554673660
983373236661
1029220894640
1111435484703
1257b6027b54
1329a8b49902
1415b2b9c120
15b6052ccca
hex6cdb377b0

29220894640 has 160 divisors (see below), whose sum is σ = 81381934080. Its totient is φ = 9540191232.

The previous prime is 29220894631. The next prime is 29220894671. The reversal of 29220894640 is 4649802292.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 2944567 + ... + 2954473.

It is an arithmetic number, because the mean of its divisors is an integer number (508637088).

Almost surely, 229220894640 is an apocalyptic number.

29220894640 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 29220894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40690967040).

29220894640 is an abundant number, since it is smaller than the sum of its proper divisors (52161039440).

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

29220894640 is a wasteful number, since it uses less digits than its factorization.

29220894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10173 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 29220894640 in words is "twenty-nine billion, two hundred twenty million, eight hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 229 230 280 322 368 458 460 560 644 805 916 920 1145 1288 1603 1610 1832 1840 2290 2576 3206 3220 3664 4580 5267 6412 6440 8015 9160 9907 10534 12824 12880 16030 18320 19814 21068 25648 26335 32060 36869 39628 42136 49535 52670 64120 69349 73738 79256 84272 99070 105340 128240 138698 147476 158512 184345 198140 210680 227861 277396 294952 346745 368690 396280 421360 455722 554792 589904 693490 737380 792560 911444 1109584 1139305 1386980 1474760 1595027 1822888 2268703 2278610 2773960 2949520 3190054 3645776 4537406 4557220 5547920 6380108 7975135 9074812 9114440 11343515 12760216 15880921 15950270 18149624 18228880 22687030 25520432 31761842 31900540 36299248 45374060 52180169 63523684 63801080 79404605 90748120 104360338 127047368 127602160 158809210 181496240 208720676 254094736 260900845 317618420 365261183 417441352 521801690 635236840 730522366 834882704 1043603380 1270473680 1461044732 1826305915 2087206760 2922089464 3652611830 4174413520 5844178928 7305223660 14610447320 29220894640