Search a number
-
+
2231995536 = 24323121272
BaseRepresentation
bin1000010100001001…
…1000110010010000
312202112220010021100
42011002120302100
514032342324121
61005251224400
7106211435421
oct20502306220
95675803240
102231995536
11a459a3311
125235a8100
13297554a24
14172609648
15d0e3c026
hex85098c90

2231995536 has 135 divisors (see below), whose sum is σ = 6505710003. Its totient is φ = 714329280.

The previous prime is 2231995529. The next prime is 2231995541. The reversal of 2231995536 is 6355991322.

The square root of 2231995536 is 47244.

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

2231995536 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 99 + 553 + 6 = 666.

It is a super-3 number, since 3×22319955363 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231995491 and 2231995500.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17574705 + ... + 17574831.

Almost surely, 22231995536 is an apocalyptic number.

2231995536 is the 47244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231995536

2231995536 is an abundant number, since it is smaller than the sum of its proper divisors (4273714467).

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

2231995536 is a wasteful number, since it uses less digits than its factorization.

2231995536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 163 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The cubic root of 2231995536 is about 1306.8661441723.

It can be divided in two parts, 22319 and 95536, that added together give a triangular number (117855 = T485).

The spelling of 2231995536 in words is "two billion, two hundred thirty-one million, nine hundred ninety-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 186 248 254 279 372 381 496 508 558 744 762 961 1016 1116 1143 1488 1524 1922 2032 2232 2286 2883 3048 3844 3937 4464 4572 5766 6096 7688 7874 8649 9144 11532 11811 15376 15748 16129 17298 18288 23064 23622 31496 32258 34596 35433 46128 47244 48387 62992 64516 69192 70866 94488 96774 122047 129032 138384 141732 145161 188976 193548 244094 258064 283464 290322 366141 387096 488188 499999 566928 580644 732282 774192 976376 999998 1098423 1161288 1464564 1499997 1952752 1999996 2196846 2322576 2929128 2999994 3999992 4393692 4499991 5858256 5999988 7999984 8787384 8999982 11999976 15499969 17574768 17999964 23999952 30999938 35999928 46499907 61999876 71999856 92999814 123999752 139499721 185999628 247999504 278999442 371999256 557998884 743998512 1115997768 2231995536