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10225124196 = 22372313715161
BaseRepresentation
bin10011000010111011…
…10000001101100100
3222101121101010110120
421201131300031210
5131420112433241
64410343521540
7511250056500
oct114135601544
928347333416
1010225124196
1143778a8171
121b944592b0
13c6c530361
146d0005300
153eca2b666
hex261770364

10225124196 has 144 divisors (see below), whose sum is σ = 29425439232. Its totient is φ = 2750630400.

The previous prime is 10225124183. The next prime is 10225124197. The reversal of 10225124196 is 69142152201.

It is a super-3 number, since 3×102251241963 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10225124197) 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, 666856 + ... + 682016.

It is an arithmetic number, because the mean of its divisors is an integer number (204343328).

Almost surely, 210225124196 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 10225124196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712719616).

10225124196 is an abundant number, since it is smaller than the sum of its proper divisors (19200315036).

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

10225124196 is a wasteful number, since it uses less digits than its factorization.

10225124196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250 (or 15241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

Adding to 10225124196 its reverse (69142152201), we get a palindrome (79367276397).

It can be divided in two parts, 10225 and 124196, that added together give a triangular number (134421 = T518).

The spelling of 10225124196 in words is "ten billion, two hundred twenty-five million, one hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 37 42 49 62 74 84 93 98 111 124 147 148 186 196 217 222 259 294 372 434 444 518 588 651 777 868 1036 1147 1302 1519 1554 1813 2294 2604 3038 3108 3441 3626 4557 4588 5439 6076 6882 7252 8029 9114 10878 13764 15161 16058 18228 21756 24087 30322 32116 45483 48174 56203 60644 90966 96348 106127 112406 168609 181932 212254 224812 318381 337218 424508 469991 560957 636762 674436 742889 939982 1121914 1273524 1409973 1485778 1682871 1879964 2228667 2243828 2819946 2971556 3289937 3365742 3926699 4457334 5639892 6579874 6731484 7853398 8914668 9869811 11780097 13159748 15706796 17389667 19739622 23029559 23560194 27486893 34779334 39479244 46059118 47120388 52169001 54973786 69088677 69558668 82460679 92118236 104338002 109947572 121727669 138177354 164921358 208676004 243455338 276354708 329842716 365183007 486910676 730366014 852093683 1460732028 1704187366 2556281049 3408374732 5112562098 10225124196