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21988085700 = 22352749920983
BaseRepresentation
bin10100011110100101…
…111000111111000100
32002202101110111010110
4110132211320333010
5330012422220300
614033504553020
71405612434060
oct243645707704
962671414113
1021988085700
119363779259
124317922770
1320c553ccc9
1410c835caa0
1588a578550
hex51e978fc4

21988085700 has 144 divisors (see below), whose sum is σ = 72856448000. Its totient is φ = 5015537280.

The previous prime is 21988085699. The next prime is 21988085761. The reversal of 21988085700 is 758088912.

It is a self number, because there is not a number n which added to its sum of digits gives 21988085700.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1037409 + ... + 1058391.

Almost surely, 221988085700 is an apocalyptic number.

21988085700 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 21988085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36428224000).

21988085700 is an abundant number, since it is smaller than the sum of its proper divisors (50868362300).

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

21988085700 is a wasteful number, since it uses less digits than its factorization.

21988085700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21506 (or 21499 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 21988085700 in words is "twenty-one billion, nine hundred eighty-eight million, eighty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 499 525 700 998 1050 1497 1996 2100 2495 2994 3493 4990 5988 6986 7485 9980 10479 12475 13972 14970 17465 20958 20983 24950 29940 34930 37425 41916 41966 49900 52395 62949 69860 74850 83932 87325 104790 104915 125898 146881 149700 174650 209580 209830 251796 261975 293762 314745 349300 419660 440643 523950 524575 587524 629490 734405 881286 1047900 1049150 1258980 1468810 1573725 1762572 2098300 2203215 2937620 3147450 3672025 4406430 6294900 7344050 8812860 10470517 11016075 14688100 20941034 22032150 31411551 41882068 44064300 52352585 62823102 73293619 104705170 125646204 146587238 157057755 209410340 219880857 261762925 293174476 314115510 366468095 439761714 523525850 628231020 732936190 785288775 879523428 1047051700 1099404285 1465872380 1570577550 1832340475 2198808570 3141155100 3664680950 4397617140 5497021425 7329361900 10994042850 21988085700