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2241105452152 = 2371543172315053
BaseRepresentation
bin100000100111001100010…
…010110101110001111000
321221020200111021212020021
4200213030102311301320
5243204240443432102
64433314415340224
7320625453014320
oct40471422656170
97836614255207
102241105452152
117944a1669646
12302411821674
131334489752a8
147a681c9a280
153d469eea137
hex209cc4b5c78

2241105452152 has 64 divisors (see below), whose sum is σ = 4808589626880. Its totient is φ = 959230484352.

The previous prime is 2241105452141. The next prime is 2241105452171. The reversal of 2241105452152 is 2512545011422.

It is a super-2 number, since 2×22411054521522 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 148873458 + ... + 148888510.

It is an arithmetic number, because the mean of its divisors is an integer number (75134212920).

Almost surely, 22241105452152 is an apocalyptic number.

It is an amenable number.

2241105452152 is an abundant number, since it is smaller than the sum of its proper divisors (2567484174728).

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

2241105452152 is a wasteful number, since it uses less digits than its factorization.

2241105452152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18332 (or 18328 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 34.

The spelling of 2241105452152 in words is "two trillion, two hundred forty-one billion, one hundred five million, four hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 1543 1723 3086 3446 6172 6892 10801 12061 12344 13784 15053 21602 24122 30106 43204 48244 60212 86408 96488 105371 120424 210742 421484 842968 2658589 5317178 10634356 18610123 21268712 23226779 25936319 37220246 46453558 51872638 74440492 92907116 103745276 148880984 162587453 181554233 185814232 207490552 325174906 363108466 650349812 726216932 1300699624 1452433864 40019740217 80039480434 160078960868 280138181519 320157921736 560276363038 1120552726076 2241105452152