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22130234021240 = 23523269353253321
BaseRepresentation
bin1010000100000100110001…
…01111001101010101111000
32220100122000001121010000222
411002002120233031111320
510400040204402134430
6115022253354115212
74442566554315662
oct502023057152570
986318001533028
1022130234021240
11706241a197634
122594ba271bb08
13c46b45059327
145671752d3532
152859d15019e5
hex142098bcd578

22130234021240 has 128 divisors (see below), whose sum is σ = 52299036201600. Its totient is φ = 8411812823040.

The previous prime is 22130234021221. The next prime is 22130234021303. The reversal of 22130234021240 is 4212043203122.

It is a super-2 number, since 2×221302340212402 (a number of 27 digits) contains 22 as substring.

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, 87233780 + ... + 87487100.

It is an arithmetic number, because the mean of its divisors is an integer number (408586220325).

Almost surely, 222130234021240 is an apocalyptic number.

22130234021240 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 22130234021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26149518100800).

22130234021240 is an abundant number, since it is smaller than the sum of its proper divisors (30168802180360).

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

22130234021240 is a wasteful number, since it uses less digits than its factorization.

22130234021240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253977 (or 253973 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22130234021240 its reverse (4212043203122), we get a palindrome (26342277224362).

The spelling of 22130234021240 in words is "twenty-two trillion, one hundred thirty billion, two hundred thirty-four million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 269 353 460 538 706 920 1076 1345 1412 1765 2152 2690 2824 3530 5380 6187 7060 8119 10760 12374 14120 16238 24748 30935 32476 40595 49496 61870 64952 81190 94957 123740 162380 189914 247480 253321 324760 379828 474785 506642 759656 949570 1013284 1266605 1899140 2026568 2184011 2533210 3798280 4368022 5066420 5826383 8736044 10132840 10920055 11652766 17472088 21840110 23305532 29131915 43680220 46611064 58263830 68143349 87360440 89422313 116527660 136286698 178844626 233055320 272573396 340716745 357689252 447111565 545146792 681433490 715378504 894223130 1362866980 1567297027 1788446260 2056713199 2725733960 3134594054 3576892520 4113426398 6269188108 7836485135 8226852796 10283565995 12538376216 15672970270 16453705592 20567131990 24054602197 31345940540 41134263980 48109204394 62691881080 82268527960 96218408788 120273010985 192436817576 240546021970 481092043940 553255850531 962184087880 1106511701062 2213023402124 2766279252655 4426046804248 5532558505310 11065117010620 22130234021240