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10233220000 = 2554895749
BaseRepresentation
bin10011000011111001…
…01000101110100000
3222102011121102211011
421201330220232200
5131424201020000
64411233230304
7511405635433
oct114174505640
928364542734
1010233220000
114381427713
121b97102394
13c71106283
146d111181a
153ed5ca2ba
hex261f28ba0

10233220000 has 120 divisors (see below), whose sum is σ = 25462552500. Its totient is φ = 4046592000.

The previous prime is 10233219991. The next prime is 10233220027. The reversal of 10233220000 is 2233201.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5031348624 + 5201871376 = 70932^2 + 72124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1777126 + ... + 1782874.

Almost surely, 210233220000 is an apocalyptic number.

10233220000 is a gapful number since it is divisible by the number (10) 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 10233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731276250).

10233220000 is an abundant number, since it is smaller than the sum of its proper divisors (15229332500).

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

10233220000 is an frugal number, since it uses more digits than its factorization.

10233220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5868 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10233220000 its reverse (2233201), we get a palindrome (10235453201).

The spelling of 10233220000 in words is "ten billion, two hundred thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 5749 7120 8900 10000 11125 11498 14240 17800 20000 22250 22996 28745 35600 44500 45992 55625 57490 71200 89000 91984 111250 114980 143725 178000 183968 222500 229960 287450 356000 445000 459920 511661 574900 718625 890000 919840 1023322 1149800 1437250 1780000 2046644 2299600 2558305 2874500 3593125 4093288 4599200 5116610 5749000 7186250 8186576 10233220 11498000 12791525 14372500 16373152 20466440 22996000 25583050 28745000 40932880 51166100 57490000 63957625 81865760 102332200 114980000 127915250 204664400 255830500 319788125 409328800 511661000 639576250 1023322000 1279152500 2046644000 2558305000 5116610000 10233220000