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3130022200 = 2352291094951
BaseRepresentation
bin1011101010010000…
…0101100100111000
322002010200121021011
42322210011210320
522402241202300
61234331123304
7140364515104
oct27244054470
98063617234
103130022200
1113668a8008
127342a3534
133ab60a156
142199b0904
15134bc8eba
hexba905938

3130022200 has 96 divisors (see below), whose sum is σ = 7598844000. Its totient is φ = 1197504000.

The previous prime is 3130022191. The next prime is 3130022227. The reversal of 3130022200 is 22200313.

It is a happy number.

It is a super-3 number, since 3×31300222003 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629725 + ... + 634675.

It is an arithmetic number, because the mean of its divisors is an integer number (79154625).

Almost surely, 23130022200 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 3130022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799422000).

3130022200 is an abundant number, since it is smaller than the sum of its proper divisors (4468821800).

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

3130022200 is a wasteful number, since it uses less digits than its factorization.

3130022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5105 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3130022200 is about 55946.6013266222. The cubic root of 3130022200 is about 1462.7916500198.

Adding to 3130022200 its reverse (22200313), we get a palindrome (3152222513).

The spelling of 3130022200 in words is "three billion, one hundred thirty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 109 116 145 200 218 232 290 436 545 580 725 872 1090 1160 1450 2180 2725 2900 3161 4360 4951 5450 5800 6322 9902 10900 12644 15805 19804 21800 24755 25288 31610 39608 49510 63220 79025 99020 123775 126440 143579 158050 198040 247550 287158 316100 495100 539659 574316 632200 717895 990200 1079318 1148632 1435790 2158636 2698295 2871580 3589475 4317272 5396590 5743160 7178950 10793180 13491475 14357900 15650111 21586360 26982950 28715800 31300222 53965900 62600444 78250555 107931800 125200888 156501110 313002220 391252775 626004440 782505550 1565011100 3130022200