Search a number
-
+
22332952905240 = 23351982911815627
BaseRepresentation
bin1010001001111110010111…
…01110011000011000011000
32221002000020212221102012210
411010333023232120120120
510411400341420431430
6115255341131235120
74463334251356335
oct504771356303030
987060225842183
1022332952905240
1171303967725aa
1226083388a8aa0
13c5ccb07443b3
14572cc652198c
1528ade84db2b0
hex144fcbb98618

22332952905240 has 128 divisors (see below), whose sum is σ = 70610192928000. Its totient is φ = 5635202876928.

The previous prime is 22332952905217. The next prime is 22332952905257. The reversal of 22332952905240 is 4250925923322.

It is a self number, because there is not a number n which added to its sum of digits gives 22332952905240.

It is a congruent number.

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, 4017694 + ... + 7797933.

It is an arithmetic number, because the mean of its divisors is an integer number (551642132250).

Almost surely, 222332952905240 is an apocalyptic number.

22332952905240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22332952905240 is an abundant number, since it is smaller than the sum of its proper divisors (48277240022760).

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

22332952905240 is a wasteful number, since it uses less digits than its factorization.

22332952905240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816489 (or 11816485 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 22332952905240 in words is "twenty-two trillion, three hundred thirty-two billion, nine hundred fifty-two million, nine hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 829 1140 1658 2280 2487 3316 4145 4974 6632 8290 9948 12435 15751 16580 19896 24870 31502 33160 47253 49740 63004 78755 94506 99480 126008 157510 189012 236265 315020 378024 472530 630040 945060 1890120 11815627 23631254 35446881 47262508 59078135 70893762 94525016 118156270 141787524 177234405 224496913 236312540 283575048 354468810 448993826 472625080 673490739 708937620 897987652 1122484565 1346981478 1417875240 1795975304 2244969130 2693962956 3367453695 4489938260 5387925912 6734907390 8979876520 9795154783 13469814780 19590309566 26939629560 29385464349 39180619132 48975773915 58770928698 78361238264 97951547830 117541857396 146927321745 186107940877 195903095660 235083714792 293854643490 372215881754 391806191320 558323822631 587709286980 744431763508 930539704385 1116647645262 1175418573960 1488863527016 1861079408770 2233295290524 2791619113155 3722158817540 4466590581048 5583238226310 7444317635080 11166476452620 22332952905240