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4022224320132 = 2234175711278899
BaseRepresentation
bin111010100001111111010…
…000000111011010000100
3112020112001201200010210000
4322201333100013122010
51011400003411221012
612315441230201300
7563411316420264
oct72417720073204
915215051603700
104022224320132
1113108a7851297
1254b64a953230
132323a926b615
14dc968bd37a4
156e962148ddc
hex3a87f407684

4022224320132 has 120 divisors (see below), whose sum is σ = 11152918576800. Its totient is φ = 1259663374080.

The previous prime is 4022224320113. The next prime is 4022224320151. The reversal of 4022224320132 is 2310234222204.

4022224320132 is a `hidden beast` number, since 4 + 0 + 2 + 222 + 432 + 0 + 1 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4022224320113) and next prime (4022224320151).

It is a super-2 number, since 2×40222243201322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4022224320096 and 4022224320105.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2505619 + ... + 3784517.

It is an arithmetic number, because the mean of its divisors is an integer number (92940988140).

Almost surely, 24022224320132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022224320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576459288400).

4022224320132 is an abundant number, since it is smaller than the sum of its proper divisors (7130694256668).

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

4022224320132 is a wasteful number, since it uses less digits than its factorization.

4022224320132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279503 (or 1279492 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4022224320132 its reverse (2310234222204), we get a palindrome (6332458542336).

The spelling of 4022224320132 in words is "four trillion, twenty-two billion, two hundred twenty-four million, three hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 571 612 918 1142 1377 1713 1836 2284 2754 3426 5139 5508 6852 9707 10278 15417 19414 20556 29121 30834 38828 46251 58242 61668 87363 92502 116484 174726 185004 262089 349452 524178 786267 1048356 1278899 1572534 2557798 3145068 3836697 5115596 7673394 11510091 15346788 21741283 23020182 34530273 43482566 46040364 65223849 69060546 86965132 103590819 130447698 138121092 195671547 207181638 260895396 391343094 414363276 587014641 730251329 782686188 1174029282 1460502658 1761043923 2190753987 2348058564 2921005316 3522087846 4381507974 6572261961 7044175692 8763015948 12414272593 13144523922 19716785883 24828545186 26289047844 37242817779 39433571766 49657090372 59150357649 74485635558 78867143532 111728453337 118300715298 148971271116 223456906674 236601430596 335185360011 446913813348 670370720022 1005556080033 1340741440044 2011112160066 4022224320132