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10236220830 = 23351117831933
BaseRepresentation
bin10011000100010000…
…00101010110011110
3222102101020220012000
421202020011112132
5131430433031310
64411421423130
7511443304263
oct114210052636
928371226160
1010236220830
114383097240
121b9810aaa6
13c71917104
146d169326a
153ed9be4c0
hex26220559e

10236220830 has 128 divisors (see below), whose sum is σ = 29810211840. Its totient is φ = 2478833280.

The previous prime is 10236220807. The next prime is 10236220831. The reversal of 10236220830 is 3802263201.

10236220830 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 622 + 0 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10236220794 and 10236220803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10236220831) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5294544 + ... + 5296476.

It is an arithmetic number, because the mean of its divisors is an integer number (232892280).

Almost surely, 210236220830 is an apocalyptic number.

10236220830 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 10236220830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905105920).

10236220830 is an abundant number, since it is smaller than the sum of its proper divisors (19573991010).

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

10236220830 is a wasteful number, since it uses less digits than its factorization.

10236220830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3743 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10236220830 in words is "ten billion, two hundred thirty-six million, two hundred twenty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 1783 1933 2970 3566 3866 5349 5799 8915 9665 10698 11598 16047 17397 17830 19330 19613 21263 26745 28995 32094 34794 39226 42526 48141 52191 53490 57990 58839 63789 80235 86985 96282 98065 104382 106315 117678 127578 160470 173970 176517 191367 196130 212630 240705 260955 294195 318945 353034 382734 481410 521910 529551 574101 588390 637890 882585 956835 1059102 1148202 1765170 1913670 2647755 2870505 3446539 5295510 5741010 6893078 10339617 17232695 20679234 31018851 34465390 37911929 51698085 62037702 75823858 93056553 103396170 113735787 155094255 186113106 189559645 227471574 310188510 341207361 379119290 465282765 568678935 682414722 930565530 1023622083 1137357870 1706036805 2047244166 3412073610 5118110415 10236220830