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54224622100 = 225211832332549
BaseRepresentation
bin110010100000000010…
…100001001000010100
312011222000012012200001
4302200002201020110
51342023000401400
640524353501044
73626510453155
oct624002411024
9164860165601
1054224622100
1120aa6427180
12a613871784
13516208990c
1428a583592c
1516256d9a6a
hexca00a1214

54224622100 has 144 divisors (see below), whose sum is σ = 130519771200. Its totient is φ = 19389260800.

The previous prime is 54224622077. The next prime is 54224622121. The reversal of 54224622100 is 122642245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21271626 + ... + 21274174.

It is an arithmetic number, because the mean of its divisors is an integer number (906387300).

Almost surely, 254224622100 is an apocalyptic number.

54224622100 is a gapful number since it is divisible by the number (50) 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 54224622100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65259885600).

54224622100 is an abundant number, since it is smaller than the sum of its proper divisors (76295149100).

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

54224622100 is a wasteful number, since it uses less digits than its factorization.

54224622100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

It can be divided in two parts, 542 and 24622100, that added together give a palindrome (24622642).

The spelling of 54224622100 in words is "fifty-four billion, two hundred twenty-four million, six hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 233 275 332 415 466 550 830 913 932 1100 1165 1660 1826 2075 2330 2549 2563 3652 4150 4565 4660 5098 5126 5825 8300 9130 10196 10252 11650 12745 12815 18260 19339 22825 23300 25490 25630 28039 38678 45650 50980 51260 56078 63725 64075 77356 91300 96695 112156 127450 128150 140195 193390 211567 212729 254900 256300 280390 386780 423134 425458 483475 560780 593917 700975 846268 850916 966950 1057835 1063645 1187834 1401950 1933900 2115670 2127290 2327237 2375668 2803900 2969585 4231340 4254580 4654474 5289175 5318225 5939170 6533087 9308948 10578350 10636450 11636185 11878340 13066174 14847925 21156700 21272900 23272370 26132348 29695850 32665435 46544740 49295111 58180925 59391700 65330870 98590222 116361850 130661740 163327175 197180444 232723700 246475555 326654350 492951110 542246221 653308700 985902220 1084492442 1232377775 2168984884 2464755550 2711231105 4929511100 5422462210 10844924420 13556155525 27112311050 54224622100