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4022224000020 = 223552772987791
BaseRepresentation
bin111010100001111111001…
…110111001010000010100
3112020112001201001212200000
4322201333032321100110
51011400003321000040
612315441215251300
7563411313615102
oct72417716712024
915215051055600
104022224000020
1113108a7652836
1254b64a819b30
132323a91889c5
14dc968b4cc72
156e9620d4130
hex3a87f3b9414

4022224000020 has 144 divisors (see below), whose sum is σ = 12698307218688. Its totient is φ = 1068720531840.

The previous prime is 4022223999979. The next prime is 4022224000033. The reversal of 4022224000020 is 200004222204.

4022224000020 is a `hidden beast` number, since 40 + 2 + 222 + 400 + 0 + 0 + 2 + 0 = 666.

It is a super-4 number, since 4×40222240000204 (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4022223999957 and 4022224000002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147676 + ... + 2840115.

Almost surely, 24022224000020 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 4022224000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349153609344).

4022224000020 is an abundant number, since it is smaller than the sum of its proper divisors (8676083218668).

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

4022224000020 is a wasteful number, since it uses less digits than its factorization.

4022224000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988092 (or 2988078 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4022224000020 its reverse (200004222204), we get a palindrome (4222228222224).

The spelling of 4022224000020 in words is "four trillion, twenty-two billion, two hundred twenty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 277 324 405 486 540 554 810 831 972 1108 1215 1385 1620 1662 2430 2493 2770 3324 4155 4860 4986 5540 7479 8310 9972 12465 14958 16620 22437 24930 29916 37395 44874 49860 67311 74790 89748 112185 134622 149580 224370 269244 336555 448740 673110 1346220 2987791 5975582 8963373 11951164 14938955 17926746 26890119 29877910 35853492 44816865 53780238 59755820 80670357 89633730 107560476 134450595 161340714 179267460 242011071 268901190 322681428 403351785 484022142 537802380 726033213 806703570 827618107 968044284 1210055355 1452066426 1613407140 1655236214 2420110710 2482854321 2904132852 3310472428 3630166065 4138090535 4840221420 4965708642 7260332130 7448562963 8276181070 9931417284 12414271605 14520664260 14897125926 16552362140 22345688889 24828543210 29794251852 37242814815 44691377778 49657086420 67037066667 74485629630 89382755556 111728444445 134074133334 148971259260 201111200001 223456888890 268148266668 335185333335 402222400002 446913777780 670370666670 804444800004 1005556000005 1340741333340 2011112000010 4022224000020