Search a number
-
+
21598872900 = 223521122032971
BaseRepresentation
bin10100000111011001…
…001010010101000100
32001202021002102112120
4110013121022111010
5323213302413100
613531122445540
71363145250633
oct240731122504
961667072476
1021598872900
119184000990
1242295038b0
132062a07687
14108c7a551a
158662e60a0
hex50764a544

21598872900 has 144 divisors (see below), whose sum is σ = 68227799808. Its totient is φ = 5231952000.

The previous prime is 21598872887. The next prime is 21598872901. The reversal of 21598872900 is 927889512.

It is a super-2 number, since 2×215988729002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21598872901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7268415 + ... + 7271385.

Almost surely, 221598872900 is an apocalyptic number.

21598872900 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 21598872900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34113899904).

21598872900 is an abundant number, since it is smaller than the sum of its proper divisors (46628926908).

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

21598872900 is a wasteful number, since it uses less digits than its factorization.

21598872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5202 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

It can be divided in two parts, 21598 and 872900, that added together give a palindrome (894498).

The spelling of 21598872900 in words is "twenty-one billion, five hundred ninety-eight million, eight hundred seventy-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 2203 2971 3300 4406 5942 6609 8812 8913 11015 11884 13218 14855 17826 22030 24233 26436 29710 32681 33045 35652 44060 44565 48466 55075 59420 65362 66090 72699 74275 89130 96932 98043 110150 121165 130724 132180 145398 148550 163405 165225 178260 196086 220300 222825 242330 290796 297100 326810 330450 363495 392172 445650 484660 490215 605825 653620 660900 726990 817025 891300 980430 1211650 1453980 1634050 1817475 1960860 2423300 2451075 3268100 3634950 4902150 6545113 7269900 9804300 13090226 19635339 26180452 32725565 39270678 65451130 71996243 78541356 98176695 130902260 143992486 163627825 196353390 215988729 287984972 327255650 359981215 392706780 431977458 490883475 654511300 719962430 863954916 981766950 1079943645 1439924860 1799906075 1963533900 2159887290 3599812150 4319774580 5399718225 7199624300 10799436450 21598872900