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20222877240 = 23325192956561
BaseRepresentation
bin10010110101011000…
…001001111000111000
31221012100220121100100
4102311120021320320
5312404024032430
613142410235400
71314066422526
oct226530117070
957170817310
1020222877240
118638317a95
123b04725b60
131ba3911b67
14d9bb41316
157d55e3960
hex4b5609e38

20222877240 has 96 divisors (see below), whose sum is σ = 69183550800. Its totient is φ = 5108935680.

The previous prime is 20222877223. The next prime is 20222877281. The reversal of 20222877240 is 4277822202.

It is a super-3 number, since 3×202228772403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20222877195 and 20222877204.

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, 1471441 + ... + 1485120.

Almost surely, 220222877240 is an apocalyptic number.

20222877240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222877240 is an abundant number, since it is smaller than the sum of its proper divisors (48960673560).

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

20222877240 is a wasteful number, since it uses less digits than its factorization.

20222877240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956597 (or 2956590 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 20222877240 in words is "twenty billion, two hundred twenty-two million, eight hundred seventy-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 2956561 5913122 8869683 11826244 14782805 17739366 23652488 26609049 29565610 35478732 44348415 53218098 56174659 59131220 70957464 88696830 106436196 112349318 118262440 133045245 168523977 177393660 212872392 224698636 266090490 280873295 337047954 354787320 449397272 505571931 532180980 561746590 674095908 842619885 1011143862 1064361960 1123493180 1348191816 1685239770 2022287724 2246986360 2527859655 3370479540 4044575448 5055719310 6740959080 10111438620 20222877240