Search a number
-
+
31222424420 = 22511431329281
BaseRepresentation
bin11101000101000000…
…000110001101100100
32222120221111111102122
4131011000012031210
51002420420040140
622202100525112
72153502141305
oct350500061544
988527444378
1031222424420
1112272276650
1260743b0798
132c3770b365
1417229347ac
15c2b0e3ab5
hex745006364

31222424420 has 48 divisors (see below), whose sum is σ = 71693911296. Its totient is φ = 11327232000.

The previous prime is 31222424419. The next prime is 31222424423. The reversal of 31222424420 is 2442422213.

It is a super-2 number, since 2×312224244202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31222424420.

It is not an unprimeable number, because it can be changed into a prime (31222424423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69821 + ... + 259460.

It is an arithmetic number, because the mean of its divisors is an integer number (1493623152).

Almost surely, 231222424420 is an apocalyptic number.

It is an amenable number.

31222424420 is an abundant number, since it is smaller than the sum of its proper divisors (40471486876).

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

31222424420 is a wasteful number, since it uses less digits than its factorization.

31222424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329732 (or 329730 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 31222424420 its reverse (2442422213), we get a palindrome (33664846633).

The spelling of 31222424420 in words is "thirty-one billion, two hundred twenty-two million, four hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 862 1724 2155 4310 4741 8620 9482 18964 23705 47410 94820 329281 658562 1317124 1646405 3292810 3622091 6585620 7244182 14488364 18110455 36220910 72441820 141920111 283840222 567680444 709600555 1419201110 1561121221 2838402220 3122242442 6244484884 7805606105 15611212210 31222424420