Search a number
-
+
218020297440 = 25351123753793
BaseRepresentation
bin1100101100001100000…
…1011011101011100000
3202211202012122122101010
43023003001123223200
512033001144004230
6244053535340520
721515513644221
oct3130301335340
9684665578333
10218020297440
1184509857400
1236306681740
131773680837a
14a7a34b3248
155a104db9b0
hex32c305bae0

218020297440 has 144 divisors (see below), whose sum is σ = 754872958224. Its totient is φ = 52853391360.

The previous prime is 218020297433. The next prime is 218020297447. The reversal of 218020297440 is 44792020812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (218020297433) and next prime (218020297447).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218020297447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1818817 + ... + 1934976.

It is an arithmetic number, because the mean of its divisors is an integer number (5242173321).

Almost surely, 2218020297440 is an apocalyptic number.

218020297440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218020297440 is an abundant number, since it is smaller than the sum of its proper divisors (536852660784).

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

218020297440 is a wasteful number, since it uses less digits than its factorization.

218020297440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753833 (or 3753814 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 218020297440 in words is "two hundred eighteen billion, twenty million, two hundred ninety-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 3753793 7507586 11261379 15015172 18768965 22522758 30030344 37537930 41291723 45045516 56306895 60060688 75075860 82583446 90091032 112613790 120121376 123875169 150151720 165166892 180182064 206458615 225227580 247750338 300303440 330333784 360364128 412917230 450455160 454208953 495500676 600606880 619375845 660667568 825834460 900910320 908417906 991001352 1238751690 1321335136 1362626859 1651668920 1801820640 1816835812 1982002704 2271044765 2477503380 2725253718 3303337840 3633671624 3964005408 4542089530 4955006760 5450507436 6606675680 6813134295 7267343248 9084179060 9910013520 10901014872 13626268590 14534686496 18168358120 19820027040 21802029744 27252537180 36336716240 43604059488 54505074360 72673432480 109010148720 218020297440