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1225980196 = 2272412612
BaseRepresentation
bin100100100010010…
…1111100100100100
310011102220020122221
41021010233210210
510002322331241
6321353002124
742244442200
oct11104574444
93142806587
101225980196
1157a041081
122a26b3344
13166cbc88c
14b8b73b00
157296d5d1
hex4912f924

1225980196 has 81 divisors (see below), whose sum is σ = 2600725491. Its totient is φ = 504201600.

The previous prime is 1225980167. The next prime is 1225980199. The reversal of 1225980196 is 6910895221.

The square root of 1225980196 is 35014.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1037741796 + 188238400 = 32214^2 + 13720^2 .

It is not an unprimeable number, because it can be changed into a prime (1225980199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20098006 + ... + 20098066.

Almost surely, 21225980196 is an apocalyptic number.

1225980196 is the 35014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225980196

1225980196 is an abundant number, since it is smaller than the sum of its proper divisors (1374745295).

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

1225980196 is an equidigital number, since it uses as much as digits as its factorization.

1225980196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The cubic root of 1225980196 is about 1070.2727915413.

The spelling of 1225980196 in words is "one billion, two hundred twenty-five million, nine hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 49 61 82 98 122 164 196 244 287 427 574 854 1148 1681 1708 2009 2501 2989 3362 3721 4018 5002 5978 6724 7442 8036 10004 11767 11956 14884 17507 23534 26047 35014 47068 52094 70028 82369 102541 104188 122549 152561 164738 182329 205082 245098 305122 329476 364658 410164 490196 610244 717787 729316 1067927 1435574 2135854 2871148 4271708 5024509 6255001 7475489 10049018 12510002 14950978 20098036 25020004 29901956 43785007 87570014 175140028 306495049 612990098 1225980196