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40222032120 = 23325166966943
BaseRepresentation
bin100101011101011010…
…111000000011111000
310211211010211221022100
4211131122320003320
51124333320011440
630251105423400
72622511426524
oct453532700370
9124733757270
1040222032120
111607031a066
12796633ab60
133a40081c0a
141d37c86d84
1510a6244230
hex95d6b80f8

40222032120 has 96 divisors (see below), whose sum is σ = 130801881600. Its totient is φ = 10719288576.

The previous prime is 40222032119. The next prime is 40222032157. The reversal of 40222032120 is 2123022204.

40222032120 is a `hidden beast` number, since 402 + 220 + 3 + 21 + 20 = 666.

40222032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40222032093 and 40222032102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567369 + ... + 634311.

It is an arithmetic number, because the mean of its divisors is an integer number (1362519600).

Almost surely, 240222032120 is an apocalyptic number.

40222032120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222032120 is an abundant number, since it is smaller than the sum of its proper divisors (90579849480).

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

40222032120 is a wasteful number, since it uses less digits than its factorization.

40222032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68629 (or 68622 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 40222032120 its reverse (2123022204), we get a palindrome (42345054324).

The spelling of 40222032120 in words is "forty billion, two hundred twenty-two million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1669 3338 5007 6676 8345 10014 13352 15021 16690 20028 25035 30042 33380 40056 50070 60084 66760 66943 75105 100140 120168 133886 150210 200280 200829 267772 300420 334715 401658 535544 600840 602487 669430 803316 1004145 1204974 1338860 1606632 2008290 2409948 2677720 3012435 4016580 4819896 6024870 8033160 12049740 24099480 111727867 223455734 335183601 446911468 558639335 670367202 893822936 1005550803 1117278670 1340734404 1675918005 2011101606 2234557340 2681468808 3351836010 4022203212 4469114680 5027754015 6703672020 8044406424 10055508030 13407344040 20111016060 40222032120