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221631034140 = 223351937921179
BaseRepresentation
bin1100111001101000111…
…1010011001100011100
3210012001211220001222000
43032122033103030130
512112400021043030
6245452122122300
722004136464325
oct3163217231434
9705054801860
10221631034140
1185aa1a3931a
1236b53950390
1317b908a7469
14aa26c5944c
155b724be860
hex339a3d331c

221631034140 has 96 divisors (see below), whose sum is σ = 689586912000. Its totient is φ = 59095768896.

The previous prime is 221631034087. The next prime is 221631034153. The reversal of 221631034140 is 41430136122.

It is a happy number.

221631034140 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 310 + 341 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10454071 + ... + 10475249.

It is an arithmetic number, because the mean of its divisors is an integer number (7183197000).

Almost surely, 2221631034140 is an apocalyptic number.

221631034140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221631034140 is an abundant number, since it is smaller than the sum of its proper divisors (467955877860).

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

221631034140 is a wasteful number, since it uses less digits than its factorization.

221631034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40576 (or 40568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 221631034140 in words is "two hundred twenty-one billion, six hundred thirty-one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 19379 21179 38758 42358 58137 63537 77516 84716 96895 105895 116274 127074 174411 190611 193790 211790 232548 254148 290685 317685 348822 381222 387580 423580 523233 571833 581370 635370 697644 762444 872055 953055 1046466 1143666 1162740 1270740 1744110 1906110 2092932 2287332 2616165 2859165 3488220 3812220 5232330 5718330 10464660 11436660 410427841 820855682 1231283523 1641711364 2052139205 2462567046 3693850569 4104278410 4925134092 6156417615 7387701138 8208556820 11081551707 12312835230 14775402276 18469252845 22163103414 24625670460 36938505690 44326206828 55407758535 73877011380 110815517070 221631034140