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224551142420 = 2251119509105541
BaseRepresentation
bin1101000100100001001…
…0101000010000010100
3210110121100120221110112
43101020102220100110
512134340043024140
6251053554142152
722136405134463
oct3211022502024
9713540527415
10224551142420
11872602a1950
1237629881958
1318237868997
14ac229c69da
155c93a31c65
hex34484a8414

224551142420 has 96 divisors (see below), whose sum is σ = 542570313600. Its totient is φ = 77204620800.

The previous prime is 224551142419. The next prime is 224551142429. The reversal of 224551142420 is 24241155422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224551142429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2074850 + ... + 2180390.

It is an arithmetic number, because the mean of its divisors is an integer number (5651774100).

Almost surely, 2224551142420 is an apocalyptic number.

224551142420 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 224551142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271285156800).

224551142420 is an abundant number, since it is smaller than the sum of its proper divisors (318019171180).

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

224551142420 is a wasteful number, since it uses less digits than its factorization.

224551142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106089 (or 106087 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 224551142420 its reverse (24241155422), we get a palindrome (248792297842).

The spelling of 224551142420 in words is "two hundred twenty-four billion, five hundred fifty-one million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 509 836 1018 1045 2036 2090 2545 4180 5090 5599 9671 10180 11198 19342 22396 27995 38684 48355 55990 96710 105541 106381 111980 193420 211082 212762 422164 425524 527705 531905 1055410 1063810 1160951 2005279 2110820 2127620 2321902 4010558 4643804 5804755 8021116 10026395 11609510 20052790 22058069 23219020 40105580 44116138 53720369 88232276 107440738 110290345 214881476 220580690 268601845 441161380 537203690 590924059 1020687011 1074407380 1181848118 2041374022 2363696236 2954620295 4082748044 5103435055 5909240590 10206870110 11227557121 11818481180 20413740220 22455114242 44910228484 56137785605 112275571210 224551142420