Search a number
-
+
22942224152320 = 2851115461105389
BaseRepresentation
bin1010011011101101001110…
…00111101111011100000000
310000020020220001021121202111
411031312213013233130000
511001341133340333240
6120443302352425104
74555343462462254
oct515664707573400
9100206801247674
1022942224152320
117345819482270
1226a6434548194
13ca559a0c3505
145945a3c28264
1529bba72651ea
hex14dda71ef700

22942224152320 has 144 divisors (see below), whose sum is σ = 59954042302560. Its totient is φ = 8342008217600.

The previous prime is 22942224152311. The next prime is 22942224152363. The reversal of 22942224152320 is 2325142224922.

It is a happy number.

It is a super-2 number, since 2×229422241523202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217638186 + ... + 217743574.

It is an arithmetic number, because the mean of its divisors is an integer number (416347515990).

Almost surely, 222942224152320 is an apocalyptic number.

22942224152320 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 22942224152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29977021151280).

22942224152320 is an abundant number, since it is smaller than the sum of its proper divisors (37011818150240).

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

22942224152320 is a wasteful number, since it uses less digits than its factorization.

22942224152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120882 (or 120868 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 22942224152320 in words is "twenty-two trillion, nine hundred forty-two billion, two hundred twenty-four million, one hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 15461 30922 61844 77305 105389 123688 154610 170071 210778 247376 309220 340142 421556 494752 526945 618440 680284 843112 850355 989504 1053890 1159279 1236880 1360568 1686224 1700710 1979008 2107780 2318558 2473760 2721136 3372448 3401420 3958016 4215560 4637116 4947520 5442272 5796395 6744896 6802840 8431120 9274232 9895040 10884544 11592790 13489792 13605680 16862240 18548464 19790080 21769088 23185580 26979584 27211360 33724480 37096928 43538176 46371160 54422720 67448960 74193856 92742320 108845440 134897920 148387712 185484640 217690880 296775424 370969280 741938560 1483877120 1629419329 3258838658 6517677316 8147096645 13035354632 16294193290 17923612619 26070709264 32588386580 35847225238 52141418528 65176773160 71694450476 89618063095 104282837056 130353546320 143388900952 179236126190 208565674112 260707092640 286777801904 358472252380 417131348224 521414185280 573555603808 716944504760 1042828370560 1147111207616 1433889009520 2085656741120 2294222415232 2867778019040 4588444830464 5735556038080 11471112076160 22942224152320