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20372235000 = 2335413104473
BaseRepresentation
bin10010111110010001…
…111010001011111000
31221120202221202200020
4102332101322023320
5313210243010000
613205303410440
71320562066065
oct227621721370
957522852606
1020372235000
118704660757
123b46753a20
131bc8847630
14db38ddc6c
157e3797ba0
hex4be47a2f8

20372235000 has 160 divisors (see below), whose sum is σ = 68539122960. Its totient is φ = 5014656000.

The previous prime is 20372234999. The next prime is 20372235007. The reversal of 20372235000 is 53227302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20372235007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142764 + ... + 247236.

Almost surely, 220372235000 is an apocalyptic number.

20372235000 is a gapful number since it is divisible by the number (20) 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 20372235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269561480).

20372235000 is an abundant number, since it is smaller than the sum of its proper divisors (48166887960).

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

20372235000 is a wasteful number, since it uses less digits than its factorization.

20372235000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104515 (or 104496 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The spelling of 20372235000 in words is "twenty billion, three hundred seventy-two million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 625 650 750 780 975 1000 1250 1300 1500 1560 1625 1875 1950 2500 2600 3000 3250 3750 3900 4875 5000 6500 7500 7800 8125 9750 13000 15000 16250 19500 24375 32500 39000 48750 65000 97500 104473 195000 208946 313419 417892 522365 626838 835784 1044730 1253676 1358149 1567095 2089460 2507352 2611825 2716298 3134190 4074447 4178920 5223650 5432596 6268380 6790745 7835475 8148894 10447300 10865192 12536760 13059125 13581490 15670950 16297788 20372235 20894600 26118250 27162980 31341900 32595576 33953725 39177375 40744470 52236500 54325960 62683800 65295625 67907450 78354750 81488940 101861175 104473000 130591250 135814900 156709500 162977880 169768625 195886875 203722350 261182500 271629800 313419000 339537250 391773750 407444700 509305875 522365000 679074500 783547500 814889400 848843125 1018611750 1358149000 1567095000 1697686250 2037223500 2546529375 3395372500 4074447000 5093058750 6790745000 10186117500 20372235000