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40154220 = 223251959199
BaseRepresentation
bin1001100100101…
…1010001101100
32210120001020100
42121023101230
540234413340
63552351100
7665206461
oct231132154
983501210
1040154220
1120736507
1211545490
13841bac2
145493668
1537d2830
hex264b46c

40154220 has 144 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 9922176.

The previous prime is 40154203. The next prime is 40154243. The reversal of 40154220 is 2245104.

It is a super-2 number, since 2×401542202 = 3224722767616800, which contains 22 as substring.

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 = 40154193 and 40154202.

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, 201681 + ... + 201879.

It is an arithmetic number, because the mean of its divisors is an integer number (910000).

Almost surely, 240154220 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 40154220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

40154220 is an abundant number, since it is smaller than the sum of its proper divisors (90885780).

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

40154220 is a wasteful number, since it uses less digits than its factorization.

40154220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40154220 is about 6336.7357527358. The cubic root of 40154220 is about 342.4341465021.

Adding to 40154220 its reverse (2245104), we get a palindrome (42399324).

The spelling of 40154220 in words is "forty million, one hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 59 60 76 90 95 114 118 171 177 180 190 199 228 236 285 295 342 354 380 398 531 570 590 597 684 708 796 855 885 995 1062 1121 1140 1180 1194 1710 1770 1791 1990 2124 2242 2388 2655 2985 3363 3420 3540 3582 3781 3980 4484 5310 5605 5970 6726 7164 7562 8955 10089 10620 11210 11343 11741 11940 13452 15124 16815 17910 18905 20178 22420 22686 23482 33630 34029 35223 35820 37810 40356 45372 46964 50445 56715 58705 67260 68058 70446 75620 100890 105669 113430 117410 136116 140892 170145 176115 201780 211338 223079 226860 234820 340290 352230 422676 446158 528345 669237 680580 704460 892316 1056690 1115395 1338474 2007711 2113380 2230790 2676948 3346185 4015422 4461580 6692370 8030844 10038555 13384740 20077110 40154220