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222274035040 = 2552326143051
BaseRepresentation
bin1100111100000010010…
…0001001110101100000
3210020201122210220101011
43033000210021311200
512120204123110130
6250040011550304
722026105060451
oct3170044116540
9706648726334
10222274035040
11862a1997422
12370b315b394
1317c63b7a775
14aa883d7128
155badb8352a
hex33c0909d60

222274035040 has 144 divisors (see below), whose sum is σ = 557958569616. Its totient is φ = 83647872000.

The previous prime is 222274035023. The next prime is 222274035043. The reversal of 222274035040 is 40530472222.

222274035040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 222274034993 and 222274035011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222274035043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5141515 + ... + 5184565.

It is an arithmetic number, because the mean of its divisors is an integer number (3874712289).

Almost surely, 2222274035040 is an apocalyptic number.

222274035040 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 222274035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278979284808).

222274035040 is an abundant number, since it is smaller than the sum of its proper divisors (335684534576).

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

222274035040 is a wasteful number, since it uses less digits than its factorization.

222274035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43173 (or 43142 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The spelling of 222274035040 in words is "two hundred twenty-two billion, two hundred seventy-four million, thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 80 92 115 122 160 184 230 244 305 368 460 488 529 610 736 920 976 1058 1220 1403 1840 1952 2116 2440 2645 2806 3680 4232 4880 5290 5612 7015 8464 9760 10580 11224 14030 16928 21160 22448 28060 32269 42320 43051 44896 56120 64538 84640 86102 112240 129076 161345 172204 215255 224480 258152 322690 344408 430510 516304 645380 688816 861020 990173 1032608 1290760 1377632 1722040 1980346 2581520 2626111 3444080 3960692 4950865 5163040 5252222 6888160 7921384 9901730 10504444 13130555 15842768 19803460 21008888 22773979 26261110 31685536 39606920 42017776 45547958 52522220 60400553 79213840 84035552 91095916 105044440 113869895 120801106 158427680 182191832 210088880 227739790 241602212 302002765 364383664 420177760 455479580 483204424 604005530 728767328 910959160 966408848 1208011060 1389212719 1821918320 1932817696 2416022120 2778425438 3643836640 4832044240 5556850876 6946063595 9664088480 11113701752 13892127190 22227403504 27784254380 44454807008 55568508760 111137017520 222274035040