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83225670 = 235111072357
BaseRepresentation
bin1001111010111…
…10110001000110
312210121022011020
410331132301012
5132301210140
612131452010
72030256303
oct475366106
9183538136
1083225670
1142a84750
1223a57006
131431c678
14b0a60aa
15748e6d0
hex4f5ec46

83225670 has 64 divisors (see below), whose sum is σ = 220029696. Its totient is φ = 19978880.

The previous prime is 83225663. The next prime is 83225729. The reversal of 83225670 is 7652238.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34132 + ... + 36488.

It is an arithmetic number, because the mean of its divisors is an integer number (3437964).

Almost surely, 283225670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83225670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110014848).

83225670 is an abundant number, since it is smaller than the sum of its proper divisors (136804026).

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

83225670 is a wasteful number, since it uses less digits than its factorization.

83225670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 83225670 is about 9122.8104222328. The cubic root of 83225670 is about 436.6020461323.

The spelling of 83225670 in words is "eighty-three million, two hundred twenty-five thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 107 110 165 214 321 330 535 642 1070 1177 1605 2354 2357 3210 3531 4714 5885 7062 7071 11770 11785 14142 17655 23570 25927 35310 35355 51854 70710 77781 129635 155562 252199 259270 388905 504398 756597 777810 1260995 1513194 2521990 2774189 3782985 5548378 7565970 8322567 13870945 16645134 27741890 41612835 83225670