Search a number
-
+
22235153024420 = 22575317916741069
BaseRepresentation
bin1010000111001000001100…
…11001011100010110100100
32220201122211001012201002122
411003210012121130112210
510403300043133240140
6115142404400325112
74453302551164430
oct503440631342644
986648731181078
1022235153024420
1170a296a238616
1225b13a3913798
13c539c59a862b
1456c28976d9c0
152885c24e3ab5
hex14390665c5a4

22235153024420 has 96 divisors (see below), whose sum is σ = 54674995334400. Its totient is φ = 7437855619584.

The previous prime is 22235153024407. The next prime is 22235153024429. The reversal of 22235153024420 is 2442035153222.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (22235153024429) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7042355 + ... + 9698714.

It is an arithmetic number, because the mean of its divisors is an integer number (569531201400).

Almost surely, 222235153024420 is an apocalyptic number.

22235153024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22235153024420 is an abundant number, since it is smaller than the sum of its proper divisors (32439842309980).

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

22235153024420 is a wasteful number, since it uses less digits than its factorization.

22235153024420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16741317 (or 16741315 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 22235153024420 its reverse (2442035153222), we get a palindrome (24677188177642).

The spelling of 22235153024420 in words is "twenty-two trillion, two hundred thirty-five billion, one hundred fifty-three million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 179 212 265 358 371 530 716 742 895 1060 1253 1484 1790 1855 2506 3580 3710 5012 6265 7420 9487 12530 18974 25060 37948 47435 66409 94870 132818 189740 265636 332045 664090 1328180 16741069 33482138 66964276 83705345 117187483 167410690 234374966 334821380 468749932 585937415 887276657 1171874830 1774553314 2343749660 2996651351 3549106628 4436383285 5993302702 6210936599 8872766570 11986605404 12421873198 14983256755 17745533140 20976559457 24843746396 29966513510 31054682995 41953118914 59933027020 62109365990 83906237828 104882797285 124218731980 158822521603 209765594570 317645043206 419531189140 635290086412 794112608015 1111757651221 1588225216030 2223515302442 3176450432060 4447030604884 5558788256105 11117576512210 22235153024420