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1225340010 = 232571233823
BaseRepresentation
bin100100100001001…
…0011010001101010
310011101200201111100
41021002103101222
510002141340020
6321331142230
742236134566
oct11102232152
93141621440
101225340010
115797440a4
122a2444976
13166b2737b
14b8a486a6
1572893a90
hex4909346a

1225340010 has 96 divisors (see below), whose sum is σ = 3248563968. Its totient is φ = 320382720.

The previous prime is 1225340009. The next prime is 1225340027. The reversal of 1225340010 is 100435221.

1225340010 is a `hidden beast` number, since 1 + 2 + 253 + 400 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1488459 + ... + 1489281.

It is an arithmetic number, because the mean of its divisors is an integer number (33839208).

Almost surely, 21225340010 is an apocalyptic number.

1225340010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225340010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624281984).

1225340010 is an abundant number, since it is smaller than the sum of its proper divisors (2023223958).

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

1225340010 is a wasteful number, since it uses less digits than its factorization.

1225340010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1225340010 is about 35004.8569487150. The cubic root of 1225340010 is about 1070.0864663581.

Adding to 1225340010 its reverse (100435221), we get a palindrome (1325775231).

The spelling of 1225340010 in words is "one billion, two hundred twenty-five million, three hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 233 355 426 466 639 699 710 823 1065 1165 1278 1398 1646 2097 2130 2330 2469 3195 3495 4115 4194 4938 6390 6990 7407 8230 10485 12345 14814 16543 20970 24690 33086 37035 49629 58433 74070 82715 99258 116866 148887 165430 175299 191759 248145 292165 297774 350598 383518 496290 525897 575277 584330 744435 876495 958795 1051794 1150554 1488870 1725831 1752990 1917590 2629485 2876385 3451662 5258970 5752770 8629155 13614889 17258310 27229778 40844667 68074445 81689334 122534001 136148890 204223335 245068002 408446670 612670005 1225340010