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3022005204 = 22321729414153
BaseRepresentation
bin1011010000100000…
…0010001111010100
321210121102202210200
42310020002033110
522142113131304
61215512020500
7134613422541
oct26410021724
97717382720
103022005204
111310930269
12704091730
1339211a57a
142094d3bc8
1512a48de39
hexb42023d4

3022005204 has 144 divisors (see below), whose sum is σ = 8573357520. Its totient is φ = 892846080.

The previous prime is 3022005197. The next prime is 3022005211. The reversal of 3022005204 is 4025002203.

It is an interprime number because it is at equal distance from previous prime (3022005197) and next prime (3022005211).

It can be written as a sum of positive squares in 8 ways, for example, as 595457604 + 2426547600 = 24402^2 + 49260^2 .

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

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, 725592 + ... + 729744.

It is an arithmetic number, because the mean of its divisors is an integer number (59537205).

Almost surely, 23022005204 is an apocalyptic number.

3022005204 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022005204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286678760).

3022005204 is an abundant number, since it is smaller than the sum of its proper divisors (5551352316).

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

3022005204 is a wasteful number, since it uses less digits than its factorization.

3022005204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4245 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3022005204 is about 54972.7678400861. The cubic root of 3022005204 is about 1445.7673161979.

Adding to 3022005204 its reverse (4025002203), we get a palindrome (7047007407).

The spelling of 3022005204 in words is "three billion, twenty-two million, five thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 41 51 58 68 82 87 102 116 123 153 164 174 204 246 261 306 348 369 492 493 522 612 697 738 986 1044 1189 1394 1476 1479 1972 2091 2378 2788 2958 3567 4153 4182 4437 4756 5916 6273 7134 8306 8364 8874 10701 12459 12546 14268 16612 17748 20213 21402 24918 25092 37377 40426 42804 49836 60639 70601 74754 80852 120437 121278 141202 149508 170273 181917 211803 240874 242556 282404 340546 361311 363834 423606 481748 510819 635409 681092 722622 727668 847212 1021638 1083933 1270818 1445244 1532457 2043276 2047429 2167866 2541636 2894641 3064914 4094858 4335732 4937917 5789282 6129828 6142287 8189716 8683923 9875834 11578564 12284574 14813751 17367846 18426861 19751668 24569148 26051769 29627502 34735692 36853722 44441253 52103538 59255004 73707444 83944589 88882506 104207076 167889178 177765012 251833767 335778356 503667534 755501301 1007335068 1511002602 3022005204