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3222084375 = 32551723293
BaseRepresentation
bin1100000000001101…
…0001101100010111
322022112220211211100
43000003101230113
523044323200000
61251420241143
7142563156666
oct30003215427
98275824740
103222084375
111403867754
1275b0a01b3
133c4701903
14227cd6ddd
1513cd11a00
hexc00d1b17

3222084375 has 144 divisors (see below), whose sum is σ = 6449212224. Its totient is φ = 1541760000.

The previous prime is 3222084269. The next prime is 3222084377. The reversal of 3222084375 is 5734802223.

It is not a de Polignac number, because 3222084375 - 27 = 3222084247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222084377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10996729 + ... + 10997021.

It is an arithmetic number, because the mean of its divisors is an integer number (44786196).

Almost surely, 23222084375 is an apocalyptic number.

3222084375 is an abundant number, since it is smaller than the sum of its proper divisors (3227127849).

3222084375 is a wasteful number, since it uses less digits than its factorization.

3222084375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3222084375 is about 56763.4070066271. The cubic root of 3222084375 is about 1476.9948112663.

Adding to 3222084375 its reverse (5734802223), we get a palindrome (8956886598).

The spelling of 3222084375 in words is "three billion, two hundred twenty-two million, eighty-four thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 23 25 45 51 69 75 85 115 125 153 207 225 255 293 345 375 391 425 575 625 765 879 1035 1125 1173 1275 1465 1725 1875 1955 2125 2637 2875 3125 3519 3825 4395 4981 5175 5625 5865 6375 6739 7325 8625 9375 9775 10625 13185 14375 14943 17595 19125 20217 21975 24905 25875 28125 29325 31875 33695 36625 43125 44829 48875 53125 60651 65925 71875 74715 87975 95625 101085 109875 114563 124525 129375 146625 159375 168475 183125 215625 224145 244375 303255 329625 343689 373575 439875 478125 505425 549375 572815 622625 646875 733125 842375 915625 1031067 1120725 1221875 1516275 1648125 1718445 1867875 2199375 2527125 2746875 2864075 3113125 3665625 4211875 5155335 5603625 7581375 8240625 8592225 9339375 10996875 12635625 14320375 15565625 21059375 25776675 28018125 37906875 42961125 46696875 63178125 71601875 128883375 140090625 189534375 214805625 358009375 644416875 1074028125 3222084375