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4221022104 = 233413836037
BaseRepresentation
bin1111101110010111…
…1010111110011000
3101220011121010210000
43323211322332120
532121040201404
61534503053000
7206413044615
oct37345727630
911804533700
104221022104
111876725422
12999741160
13523659420
142c084950c
1519a883339
hexfb97af98

4221022104 has 160 divisors (see below), whose sum is σ = 12887748720. Its totient is φ = 1282915584.

The previous prime is 4221022103. The next prime is 4221022109. The reversal of 4221022104 is 4012201224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221022103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 696174 + ... + 702210.

Almost surely, 24221022104 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 4221022104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443874360).

4221022104 is an abundant number, since it is smaller than the sum of its proper divisors (8666726616).

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

4221022104 is a wasteful number, since it uses less digits than its factorization.

4221022104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151 (or 6138 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4221022104 is about 64969.3935942148. The cubic root of 4221022104 is about 1616.1160454439.

Adding to 4221022104 its reverse (4012201224), we get a palindrome (8233223328).

The spelling of 4221022104 in words is "four billion, two hundred twenty-one million, twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 83 104 108 117 156 162 166 216 234 249 312 324 332 351 468 498 648 664 702 747 936 996 1053 1079 1404 1494 1992 2106 2158 2241 2808 2988 3237 4212 4316 4482 5976 6037 6474 6723 8424 8632 8964 9711 12074 12948 13446 17928 18111 19422 24148 25896 26892 29133 36222 38844 48296 53784 54333 58266 72444 77688 78481 87399 108666 116532 144888 156962 162999 174798 217332 233064 235443 313924 325998 349596 434664 470886 488997 501071 627848 651996 699192 706329 941772 977994 1002142 1303992 1412658 1503213 1883544 1955988 2004284 2118987 2825316 3006426 3911976 4008568 4237974 4509639 5650632 6012852 6356961 6513923 8475948 9019278 12025704 12713922 13027846 13528917 16951896 18038556 19541769 25427844 26055692 27057834 36077112 39083538 40586751 50855688 52111384 54115668 58625307 78167076 81173502 108231336 117250614 156334152 162347004 175875921 234501228 324694008 351751842 469002456 527627763 703503684 1055255526 1407007368 2110511052 4221022104