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1225202104 = 237176771901
BaseRepresentation
bin100100100000111…
…0001100110111000
310011101102201022201
41021001301212320
510002122431404
6321324155544
742235021540
oct11101614670
93141381281
101225202104
1157965a525
122a2398bb4
13166aa9679
14b8a10320
1572867ca4
hex490719b8

1225202104 has 64 divisors (see below), whose sum is σ = 2785440960. Its totient is φ = 493209600.

The previous prime is 1225202101. The next prime is 1225202131. The reversal of 1225202104 is 4012025221.

It is a super-2 number, since 2×12252021042 = 3002240391292053632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225202101) 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 15 ways as a sum of consecutive naturals, for example, 643554 + ... + 645454.

It is an arithmetic number, because the mean of its divisors is an integer number (43522515).

Almost surely, 21225202104 is an apocalyptic number.

1225202104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392720480).

1225202104 is an abundant number, since it is smaller than the sum of its proper divisors (1560238856).

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

1225202104 is a wasteful number, since it uses less digits than its factorization.

1225202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1225202104 is about 35002.8870809252. The cubic root of 1225202104 is about 1070.0463205266.

Adding to 1225202104 its reverse (4012025221), we get a palindrome (5237227325).

The spelling of 1225202104 in words is "one billion, two hundred twenty-five million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 677 952 1354 1901 2708 3802 4739 5416 7604 9478 11509 13307 15208 18956 23018 26614 32317 37912 46036 53228 64634 80563 92072 106456 129268 161126 226219 258536 322252 452438 644504 904876 1286977 1809752 2573954 5147908 9008839 10295816 18017678 21878609 36035356 43757218 72070712 87514436 153150263 175028872 306300526 612601052 1225202104