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3225692472 = 2331719439677
BaseRepresentation
bin1100000001000100…
…0010100100111000
322022210201011012120
43000101002210320
523101234124342
61252025441240
7142635635142
oct30021024470
98283634176
103225692472
111405901552
12760340220
133c5395c92
14228595c92
1513d2c5aec
hexc0442938

3225692472 has 128 divisors (see below), whose sum is σ = 9197971200. Its totient is φ = 936327168.

The previous prime is 3225692471. The next prime is 3225692479. The reversal of 3225692472 is 2742965223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225692471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328498 + ... + 338174.

It is an arithmetic number, because the mean of its divisors is an integer number (71859150).

Almost surely, 23225692472 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 3225692472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598985600).

3225692472 is an abundant number, since it is smaller than the sum of its proper divisors (5972278728).

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

3225692472 is a wasteful number, since it uses less digits than its factorization.

3225692472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9761 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 3225692472 is about 56795.1800067576. The cubic root of 3225692472 is about 1477.5459195934.

The spelling of 3225692472 in words is "three billion, two hundred twenty-five million, six hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 43 51 57 68 76 86 102 114 129 136 152 172 204 228 258 323 344 408 456 516 646 731 817 969 1032 1292 1462 1634 1938 2193 2451 2584 2924 3268 3876 4386 4902 5848 6536 7752 8772 9677 9804 13889 17544 19354 19608 27778 29031 38708 41667 55556 58062 77416 83334 111112 116124 164509 166668 183863 232248 329018 333336 367726 416111 493527 551589 658036 735452 832222 987054 1103178 1248333 1316072 1470904 1664444 1974108 2206356 2496666 3125671 3328888 3948216 4412712 4993332 6251342 7073887 7906109 9377013 9986664 12502684 14147774 15812218 18754026 21221661 23718327 25005368 28295548 31624436 37508052 42443322 47436654 56591096 63248872 75016104 84886644 94873308 134403853 169773288 189746616 268807706 403211559 537615412 806423118 1075230824 1612846236 3225692472