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222121342440 = 233251722134961
BaseRepresentation
bin1100111011011101110…
…1101011010111101000
3210020100000111022111200
43032313131223113220
512114401030424230
6250012515124200
722022242154514
oct3166735532750
9706300438450
10222121342440
1186223786198
123706bba3660
1317c3b34810a
14aa7200b144
155ba0571160
hex33b776b5e8

222121342440 has 144 divisors (see below), whose sum is σ = 766857000780. Its totient is φ = 55748075520.

The previous prime is 222121342393. The next prime is 222121342447. The reversal of 222121342440 is 44243121222.

It is a happy number.

222121342440 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 213 + 4 + 2 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 89859654756 + 132261687684 = 299766^2 + 363678^2 .

It is not an unprimeable number, because it can be changed into a prime (222121342447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 963441 + ... + 1171520.

Almost surely, 2222121342440 is an apocalyptic number.

222121342440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121342440 is an abundant number, since it is smaller than the sum of its proper divisors (544735658340).

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

222121342440 is a wasteful number, since it uses less digits than its factorization.

222121342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135012 (or 2134988 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 222121342440 its reverse (44243121222), we get a palindrome (266364463662).

The spelling of 222121342440 in words is "two hundred twenty-two billion, one hundred twenty-one million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 289 306 340 360 408 510 578 612 680 765 867 1020 1156 1224 1445 1530 1734 2040 2312 2601 2890 3060 3468 4335 5202 5780 6120 6936 8670 10404 11560 13005 17340 20808 26010 34680 52020 104040 2134961 4269922 6404883 8539844 10674805 12809766 17079688 19214649 21349610 25619532 32024415 36294337 38429298 42699220 51239064 64048830 72588674 76858596 85398440 96073245 108883011 128097660 145177348 153717192 181471685 192146490 217766022 256195320 290354696 326649033 362943370 384292980 435532044 544415055 617003729 653298066 725886740 768585960 871064088 1088830110 1234007458 1306596132 1451773480 1633245165 1851011187 2177660220 2468014916 2613192264 3085018645 3266490330 3702022374 4355320440 4936029832 5553033561 6170037290 6532980660 7404044748 9255055935 11106067122 12340074580 13065961320 14808089496 18510111870 22212134244 24680149160 27765167805 37020223740 44424268488 55530335610 74040447480 111060671220 222121342440