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3122270004 = 22375113137
BaseRepresentation
bin1011101000011010…
…0000111100110100
322001121002202020210
42322012200330310
522343300120004
61233453025420
7140241600000
oct27206407464
98047082223
103122270004
111362492737
12731785270
133a9b24759
14218953700
15134197089
hexba1a0f34

3122270004 has 144 divisors (see below), whose sum is σ = 8637245568. Its totient is φ = 877728768.

The previous prime is 3122269999. The next prime is 3122270009. The reversal of 3122270004 is 4000722213.

It is an interprime number because it is at equal distance from previous prime (3122269999) and next prime (3122270009).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122270009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22790224 + ... + 22790360.

It is an arithmetic number, because the mean of its divisors is an integer number (59980872).

Almost surely, 23122270004 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 3122270004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318622784).

3122270004 is an abundant number, since it is smaller than the sum of its proper divisors (5514975564).

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

3122270004 is a wasteful number, since it uses less digits than its factorization.

3122270004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 3122270004 is about 55877.2762757814. The cubic root of 3122270004 is about 1461.5830087131.

Adding to 3122270004 its reverse (4000722213), we get a palindrome (7122992217).

The spelling of 3122270004 in words is "three billion, one hundred twenty-two million, two hundred seventy thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 113 137 147 196 226 274 294 339 343 411 452 548 588 678 686 791 822 959 1029 1356 1372 1582 1644 1918 2058 2373 2401 2877 3164 3836 4116 4746 4802 5537 5754 6713 7203 9492 9604 11074 11508 13426 14406 15481 16611 16807 20139 22148 26852 28812 30962 33222 33614 38759 40278 46443 46991 50421 61924 66444 67228 77518 80556 92886 93982 100842 108367 116277 140973 155036 185772 187964 201684 216734 232554 271313 281946 325101 328937 433468 465108 542626 563892 650202 657874 758569 813939 986811 1085252 1300404 1315748 1517138 1627878 1899191 1973622 2275707 2302559 3034276 3255756 3798382 3947244 4551414 4605118 5309983 5697573 6907677 7596764 9102828 9210236 10619966 11395146 13815354 15929949 21239932 22790292 27630708 31859898 37169881 63719796 74339762 111509643 148679524 223019286 260189167 446038572 520378334 780567501 1040756668 1561135002 3122270004