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83225070 = 2355291181
BaseRepresentation
bin1001111010111…
…10100111101110
312210121021100000
410331132213232
5132301200240
612131445130
72030254455
oct475364756
9183537300
1083225070
1142a84255
1223a567a6
131431c306
14b0a5b9c
15748e430
hex4f5e9ee

83225070 has 96 divisors (see below), whose sum is σ = 232333920. Its totient is φ = 21409920.

The previous prime is 83225059. The next prime is 83225071. The reversal of 83225070 is 7052238.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83225071) 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, 69880 + ... + 71060.

It is an arithmetic number, because the mean of its divisors is an integer number (2420145).

Almost surely, 283225070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83225070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116166960).

83225070 is an abundant number, since it is smaller than the sum of its proper divisors (149108850).

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

83225070 is a wasteful number, since it uses less digits than its factorization.

83225070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 83225070 is about 9122.7775375705. Note that the first 3 decimals coincide. The cubic root of 83225070 is about 436.6009969293.

The spelling of 83225070 in words is "eighty-three million, two hundred twenty-five thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 783 810 870 1181 1215 1305 1566 2349 2362 2430 2610 3543 3915 4698 5905 7047 7086 7830 10629 11745 11810 14094 17715 21258 23490 31887 34249 35235 35430 53145 63774 68498 70470 95661 102747 106290 159435 171245 191322 205494 286983 308241 318870 342490 478305 513735 573966 616482 924723 956610 1027470 1434915 1541205 1849446 2774169 2869830 3082410 4623615 5548338 8322507 9247230 13870845 16645014 27741690 41612535 83225070