Search a number
-
+
1022472244440 = 2332511632442133
BaseRepresentation
bin11101110000100000001…
…10000100110011011000
310121202011211220201112200
432320100012010303120
5113223010343310230
62101414532410200
7133604546451453
oct16702006046330
93552154821480
101022472244440
1136469aa20839
121461b3a76960
1375559c053ba
14376b8bd649a
151b8e4579160
hexee10184cd8

1022472244440 has 96 divisors (see below), whose sum is σ = 3325893451920. Its totient is φ = 272424708864.

The previous prime is 1022472244393. The next prime is 1022472244441. The reversal of 1022472244440 is 444422742201.

1022472244440 is a `hidden beast` number, since 102 + 2 + 4 + 72 + 2 + 44 + 440 = 666.

It is a super-2 number, since 2×10224722444402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1022472244395 and 1022472244404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022472244441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802387 + ... + 1639746.

Almost surely, 21022472244440 is an apocalyptic number.

1022472244440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022472244440 is an abundant number, since it is smaller than the sum of its proper divisors (2303421207480).

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

1022472244440 is a wasteful number, since it uses less digits than its factorization.

1022472244440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443313 (or 2443306 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 36.

Adding to 1022472244440 its reverse (444422742201), we get a palindrome (1466894986641).

The spelling of 1022472244440 in words is "one trillion, twenty-two billion, four hundred seventy-two million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1163 2326 3489 4652 5815 6978 9304 10467 11630 13956 17445 20934 23260 27912 34890 41868 46520 52335 69780 83736 104670 139560 209340 418680 2442133 4884266 7326399 9768532 12210665 14652798 19537064 21979197 24421330 29305596 36631995 43958394 48842660 58611192 73263990 87916788 97685320 109895985 146527980 175833576 219791970 293055960 439583940 879167880 2840200679 5680401358 8520602037 11360802716 14201003395 17041204074 22721605432 25561806111 28402006790 34082408148 42603010185 51123612222 56804013580 68164816296 85206020370 102247224444 113608027160 127809030555 170412040740 204494448888 255618061110 340824081480 511236122220 1022472244440