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4422211233240 = 2335374991995979
BaseRepresentation
bin100000001011010000001…
…0101000110010111011000
3120122202111111121121221010
41000112200111012113120
51034423142033430430
613223311422013520
7634331342164143
oct100264025062730
916582444547833
104422211233240
1114554a3a55279
125b50797172a0
13261021c77028
1411407134b05a
157a072809cb0
hex405a05465d8

4422211233240 has 128 divisors (see below), whose sum is σ = 13652503200000. Its totient is φ = 1145084594688.

The previous prime is 4422211233233. The next prime is 4422211233269. The reversal of 4422211233240 is 423321122244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4422211233198 and 4422211233207.

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, 1217571 + ... + 3213549.

It is an arithmetic number, because the mean of its divisors is an integer number (106660181250).

Almost surely, 24422211233240 is an apocalyptic number.

4422211233240 is a gapful number since it is divisible by the number (40) 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 4422211233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6826251600000).

4422211233240 is an abundant number, since it is smaller than the sum of its proper divisors (9230291966760).

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

4422211233240 is a wasteful number, since it uses less digits than its factorization.

4422211233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996529 (or 1996525 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4422211233240 its reverse (423321122244), we get a palindrome (4845532355484).

The spelling of 4422211233240 in words is "four trillion, four hundred twenty-two billion, two hundred eleven million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 499 555 740 888 998 1110 1480 1497 1996 2220 2495 2994 3992 4440 4990 5988 7485 9980 11976 14970 18463 19960 29940 36926 55389 59880 73852 92315 110778 147704 184630 221556 276945 369260 443112 553890 738520 1107780 1995979 2215560 3991958 5987937 7983916 9979895 11975874 15967832 19959790 23951748 29939685 39919580 47903496 59879370 73851223 79839160 119758740 147702446 221553669 239517480 295404892 369256115 443107338 590809784 738512230 886214676 995993521 1107768345 1477024460 1772429352 1991987042 2215536690 2954048920 2987980563 3983974084 4431073380 4979967605 5975961126 7967948168 8862146760 9959935210 11951922252 14939902815 19919870420 23903844504 29879805630 36851760277 39839740840 59759611260 73703520554 110555280831 119519222520 147407041108 184258801385 221110561662 294814082216 368517602770 442221123324 552776404155 737035205540 884442246648 1105552808310 1474070411080 2211105616620 4422211233240