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4022204130 = 2325713614691
BaseRepresentation
bin1110111110111101…
…1111011011100010
3101101022111010210100
43233233133123202
531214141013010
61503041443230
7201450112440
oct35757373342
911338433710
104022204130
11178447a54a
12943040516
134c13c7159
142a2293b90
151881ae2c0
hexefbdf6e2

4022204130 has 96 divisors (see below), whose sum is σ = 11963023488. Its totient is φ = 918489600.

The previous prime is 4022204111. The next prime is 4022204141. The reversal of 4022204130 is 314022204.

4022204130 is a `hidden beast` number, since 402 + 220 + 41 + 3 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855085 + ... + 859775.

It is an arithmetic number, because the mean of its divisors is an integer number (124614828).

Almost surely, 24022204130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4022204130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981511744).

4022204130 is an abundant number, since it is smaller than the sum of its proper divisors (7940819358).

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

4022204130 is a wasteful number, since it uses less digits than its factorization.

4022204130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6072 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4022204130 is about 63420.8493320611. The cubic root of 4022204130 is about 1590.3328720421.

Adding to 4022204130 its reverse (314022204), we get a palindrome (4336226334).

The spelling of 4022204130 in words is "four billion, twenty-two million, two hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1361 2722 4083 4691 6805 8166 9382 9527 12249 13610 14073 19054 20415 23455 24498 28146 28581 32837 40830 42219 46910 47635 57162 61245 65674 70365 84438 85743 95270 98511 122490 140730 142905 164185 171486 197022 211095 285810 295533 328370 422190 428715 492555 591066 857430 985110 1477665 2955330 6384451 12768902 19153353 31922255 38306706 44691157 57460059 63844510 89382314 95766765 114920118 134073471 191533530 223455785 268146942 287300295 402220413 446911570 574600590 670367355 804440826 1340734710 2011102065 4022204130