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54022102240 = 2551766130047
BaseRepresentation
bin110010010011111101…
…111101110011100000
312011102220010010122111
4302103331331303200
51341114124232430
640452321045104
73621501202231
oct622375756340
9164386103574
1054022102240
1120a02082a97
12a577a86794
13512c12c692
142886999088
151612a33c2a
hexc93f7dce0

54022102240 has 96 divisors (see below), whose sum is σ = 135343643904. Its totient is φ = 20306288640.

The previous prime is 54022102231. The next prime is 54022102261. The reversal of 54022102240 is 4220122045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1782897 + ... + 1812943.

It is an arithmetic number, because the mean of its divisors is an integer number (1409829624).

Almost surely, 254022102240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54022102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67671821952).

54022102240 is an abundant number, since it is smaller than the sum of its proper divisors (81321541664).

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

54022102240 is a wasteful number, since it uses less digits than its factorization.

54022102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30740 (or 30732 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 54022102240 its reverse (4220122045), we get a palindrome (58242224285).

The spelling of 54022102240 in words is "fifty-four billion, twenty-two million, one hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 661 680 1322 1360 2644 2720 3305 5288 6610 10576 11237 13220 21152 22474 26440 30047 44948 52880 56185 60094 89896 105760 112370 120188 150235 179792 224740 240376 300470 359584 449480 480752 510799 600940 898960 961504 1021598 1201880 1797920 2043196 2403760 2553995 4086392 4807520 5107990 8172784 10215980 16345568 19861067 20431960 39722134 40863920 79444268 81727840 99305335 158888536 198610670 317777072 337638139 397221340 635554144 675276278 794442680 1350552556 1588885360 1688190695 2701105112 3177770720 3376381390 5402210224 6752762780 10804420448 13505525560 27011051120 54022102240