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220014004200 = 233522912644483
BaseRepresentation
bin1100110011100111011…
…0110100011111101000
3210000220011011102220020
43030321312310133220
512101042041113300
6245023435400440
721616103115324
oct3147166643750
9700804142806
10220014004200
1185342195841
12367822b3120
131799388b103
14a9121b0984
155aca5598a0
hex3339db47e8

220014004200 has 96 divisors (see below), whose sum is σ = 705562207200. Its totient is φ = 56647279360.

The previous prime is 220014004183. The next prime is 220014004247. The reversal of 220014004200 is 2400410022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220014004200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6304842 + ... + 6339641.

It is an arithmetic number, because the mean of its divisors is an integer number (7349606325).

Almost surely, 2220014004200 is an apocalyptic number.

220014004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220014004200 is an abundant number, since it is smaller than the sum of its proper divisors (485548203000).

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

220014004200 is a wasteful number, since it uses less digits than its factorization.

220014004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12644531 (or 12644522 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220014004200 its reverse (2400410022), we get a palindrome (222414414222).

The spelling of 220014004200 in words is "two hundred twenty billion, fourteen million, four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 12644483 25288966 37933449 50577932 63222415 75866898 101155864 126444830 151733796 189667245 252889660 303467592 316112075 366690007 379334490 505779320 632224150 733380014 758668980 948336225 1100070021 1264448300 1466760028 1517337960 1833450035 1896672450 2200140042 2528896600 2933520056 3666900070 3793344900 4400280084 5500350105 7333800140 7586689800 8800560168 9167250175 11000700210 14667600280 18334500350 22001400420 27501750525 36669000700 44002800840 55003501050 73338001400 110007002100 220014004200