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68225004 = 2234435983
BaseRepresentation
bin1000001000100…
…00011111101100
311202101012010000
410010100133230
5114431200004
610434144300
71455621501
oct404203754
9152335100
1068225004
1135569501
121aa22090
1311199933
1490bd4a8
155ec9c39
hex41107ec

68225004 has 120 divisors (see below), whose sum is σ = 187830720. Its totient is φ = 21573216.

The previous prime is 68224987. The next prime is 68225021. The reversal of 68225004 is 40052286.

It is an interprime number because it is at equal distance from previous prime (68224987) and next prime (68225021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821947 + ... + 822029.

It is an arithmetic number, because the mean of its divisors is an integer number (1565256).

Almost surely, 268225004 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 68225004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93915360).

68225004 is an abundant number, since it is smaller than the sum of its proper divisors (119605716).

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

68225004 is a wasteful number, since it uses less digits than its factorization.

68225004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 68225004 is about 8259.8428556480. The cubic root of 68225004 is about 408.6152051112.

The spelling of 68225004 in words is "sixty-eight million, two hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 59 81 83 86 108 118 129 162 166 172 177 236 249 258 324 332 354 387 498 516 531 708 747 774 996 1062 1161 1494 1548 1593 2124 2241 2322 2537 2988 3186 3483 3569 4482 4644 4779 4897 5074 6372 6723 6966 7138 7611 8964 9558 9794 10148 10707 13446 13932 14276 14691 15222 19116 19588 21414 22833 26892 29382 30444 32121 42828 44073 45666 58764 64242 68499 88146 91332 96363 128484 132219 136998 176292 192726 205497 210571 264438 273996 289089 385452 396657 410994 421142 528876 578178 631713 793314 821988 842284 1156356 1263426 1586628 1895139 2526852 3790278 5685417 7580556 11370834 17056251 22741668 34112502 68225004