Search a number
-
+
220322142040 = 235711135502551
BaseRepresentation
bin1100110100110000111…
…0010001011101011000
3210001200121222110112211
43031030032101131120
512102204432021130
6245114204044504
721626534210350
oct3151416213530
9701617873484
10220322142040
1185490118310
1236849533734
1317a12677cb0
14a9410a1b60
155ae7624a2a
hex334c391758

220322142040 has 128 divisors (see below), whose sum is σ = 665588689920. Its totient is φ = 63389376000.

The previous prime is 220322142013. The next prime is 220322142071. The reversal of 220322142040 is 40241223022.

It is a super-3 number, since 3×2203221420403 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2711236 + ... + 2791315.

It is an arithmetic number, because the mean of its divisors is an integer number (5199911640).

Almost surely, 2220322142040 is an apocalyptic number.

220322142040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220322142040 is an abundant number, since it is smaller than the sum of its proper divisors (445266547880).

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

220322142040 is a wasteful number, since it uses less digits than its factorization.

220322142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502593 (or 5502589 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 220322142040 its reverse (40241223022), we get a palindrome (260563365062).

The spelling of 220322142040 in words is "two hundred twenty billion, three hundred twenty-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 5502551 11005102 22010204 27512755 38517857 44020408 55025510 60528061 71533163 77035714 110051020 121056122 143066326 154071428 192589285 220102040 242112244 286132652 302640305 308142856 357665815 385178570 423696427 484224488 500732141 572265304 605280610 715331630 770357140 786864793 847392854 1001464282 1210561220 1430663260 1540714280 1573729586 1694785708 2002928564 2118482135 2421122440 2503660705 2861326520 3147459172 3389571416 3934323965 4005857128 4236964270 5007321410 5508053551 6294918344 7868647930 8473928540 10014642820 11016107102 15737295860 16947857080 20029285640 22032214204 27540267755 31474591720 44064428408 55080535510 110161071020 220322142040