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83221425 = 3552719103
BaseRepresentation
bin1001111010111…
…01101110110001
312210121002100000
410331131232301
5132301041200
612131420213
72030241030
oct475355661
9183532300
1083221425
1142a81541
1223a54669
131431a761
14b0a4717
15748d300
hex4f5dbb1

83221425 has 144 divisors (see below), whose sum is σ = 187765760. Its totient is φ = 35691840.

The previous prime is 83221403. The next prime is 83221427. The reversal of 83221425 is 52412238.

It is not a de Polignac number, because 83221425 - 25 = 83221393 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (83221427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 807924 + ... + 808026.

Almost surely, 283221425 is an apocalyptic number.

It is an amenable number.

83221425 is an abundant number, since it is smaller than the sum of its proper divisors (104544335).

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

83221425 is a wasteful number, since it uses less digits than its factorization.

83221425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

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

The square root of 83221425 is about 9122.5777606990. The cubic root of 83221425 is about 436.5946229130.

The spelling of 83221425 in words is "eighty-three million, two hundred twenty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 27 35 45 57 63 75 81 95 103 105 133 135 171 175 189 225 243 285 309 315 399 405 475 513 515 525 567 665 675 721 855 927 945 1197 1215 1425 1539 1545 1575 1701 1957 1995 2025 2163 2565 2575 2781 2835 3325 3591 3605 4275 4617 4635 4725 5871 5985 6075 6489 7695 7725 8343 8505 9785 9975 10773 10815 12825 13699 13905 14175 17613 17955 18025 19467 23085 23175 25029 29355 29925 32319 32445 38475 41097 41715 42525 48925 52839 53865 54075 58401 68495 69525 88065 89775 97335 115425 123291 125145 146775 158517 161595 162225 175203 205485 208575 264195 269325 292005 342475 369873 440325 475551 486675 616455 625725 792585 807975 876015 1027425 1109619 1320975 1460025 1849365 2377755 3082275 3328857 3962925 4380075 5548095 9246825 11888775 16644285 27740475 83221425