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4225201420 = 22511217313313
BaseRepresentation
bin1111101111010111…
…0111010100001100
3101220110110110201111
43323311313110030
532123122421140
61535132421404
7206463422326
oct37365672414
911813413644
104225201420
11187901a400
1299b017864
135244907ab
142c1216616
1519ae0b7ea
hexfbd7750c

4225201420 has 144 divisors (see below), whose sum is σ = 10662914304. Its totient is φ = 1398988800.

The previous prime is 4225201381. The next prime is 4225201459. The reversal of 4225201420 is 241025224.

It is an interprime number because it is at equal distance from previous prime (4225201381) and next prime (4225201459).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4225201391 and 4225201400.

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, 1273684 + ... + 1276996.

It is an arithmetic number, because the mean of its divisors is an integer number (74048016).

Almost surely, 24225201420 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 4225201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331457152).

4225201420 is an abundant number, since it is smaller than the sum of its proper divisors (6437712884).

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

4225201420 is a wasteful number, since it uses less digits than its factorization.

4225201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4225201420 is about 65001.5493661497. The cubic root of 4225201420 is about 1616.6492521358.

Adding to 4225201420 its reverse (241025224), we get a palindrome (4466226644).

The spelling of 4225201420 in words is "four billion, two hundred twenty-five million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 31 34 44 55 62 68 85 110 121 124 155 170 187 220 242 310 340 341 374 484 527 605 620 682 748 935 1054 1210 1364 1705 1870 2057 2108 2420 2635 3313 3410 3740 3751 4114 5270 5797 6626 6820 7502 8228 10285 10540 11594 13252 15004 16565 18755 20570 23188 28985 33130 36443 37510 41140 56321 57970 63767 66260 72886 75020 102703 112642 115940 127534 145772 182215 205406 225284 255068 281605 318835 364430 400873 410812 513515 563210 619531 637670 728860 801746 1027030 1126420 1129733 1239062 1275340 1603492 1745951 2004365 2054060 2259466 2478124 3097655 3491902 4008730 4518932 5648665 6195310 6814841 6983804 8017460 8729755 11297330 12390620 12427063 13629682 17459510 19205461 22594660 24854126 27259364 34074205 34919020 38410922 49708252 62135315 68148410 76821844 96027305 124270630 136296820 192054610 211260071 248541260 384109220 422520142 845040284 1056300355 2112600710 4225201420