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21001226724 = 2234832972
BaseRepresentation
bin10011100011110001…
…010100100111100100
32000012121111212010000
4103203301110213210
5321002303223344
613351533101300
71342300324152
oct234361244744
960177455100
1021001226724
1189a7710525
1240a1327830
131c98c5429a
1410332723d2
1582dae0a69
hex4e3c549e4

21001226724 has 135 divisors (see below), whose sum is σ = 56149587417. Its totient is φ = 6844766976.

The previous prime is 21001226713. The next prime is 21001226749. The reversal of 21001226724 is 42762210012.

The square root of 21001226724 is 144918.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9430352100 + 11570874624 = 97110^2 + 107568^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 216507444 + ... + 216507540.

Almost surely, 221001226724 is an apocalyptic number.

21001226724 is the 144918-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001226724

21001226724 is an abundant number, since it is smaller than the sum of its proper divisors (35148360693).

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

21001226724 is an frugal number, since it uses more digits than its factorization.

21001226724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21001226724 its reverse (42762210012), we get a palindrome (63763436736).

The spelling of 21001226724 in words is "twenty-one billion, one million, two hundred twenty-six thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 97 108 162 166 194 249 291 324 332 388 498 582 747 873 996 1164 1494 1746 2241 2619 2988 3492 4482 5238 6723 6889 7857 8051 8964 9409 10476 13446 13778 15714 16102 18818 20667 24153 26892 27556 28227 31428 32204 37636 41334 48306 56454 62001 72459 82668 84681 96612 112908 124002 144918 169362 186003 217377 248004 254043 289836 338724 372006 434754 508086 558009 652131 668233 744012 762129 780947 869508 1016172 1116018 1304262 1336466 1524258 1561894 2004699 2232036 2342841 2608524 2672932 3048516 3123788 4009398 4685682 6014097 7028523 8018796 9371364 12028194 14057046 18042291 21085569 24056388 28114092 36084582 42171138 54126873 63256707 64818601 72169164 84342276 108253746 126513414 129637202 194455803 216507492 253026828 259274404 388911606 583367409 777823212 1166734818 1750102227 2333469636 3500204454 5250306681 7000408908 10500613362 21001226724