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38245178220 = 22357949116433
BaseRepresentation
bin100011100111100101…
…110001101101101100
310122201101001100120020
4203213211301231230
51111311231200340
625323010522140
72522515436214
oct434745615554
9118641040506
1038245178220
1115246451507
1274b4296350
1337b664cc92
141bcb4d5244
15edc9049d0
hex8e7971b6c

38245178220 has 96 divisors (see below), whose sum is σ = 108669496320. Its totient is φ = 10048496640.

The previous prime is 38245178149. The next prime is 38245178227. The reversal of 38245178220 is 2287154283.

It is not an unprimeable number, because it can be changed into a prime (38245178227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319124 + ... + 2335556.

It is an arithmetic number, because the mean of its divisors is an integer number (1131973920).

Almost surely, 238245178220 is an apocalyptic number.

38245178220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38245178220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54334748160).

38245178220 is an abundant number, since it is smaller than the sum of its proper divisors (70424318100).

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

38245178220 is a wasteful number, since it uses less digits than its factorization.

38245178220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17015 (or 17013 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 38245178220 in words is "thirty-eight billion, two hundred forty-five million, one hundred seventy-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 491 790 948 982 1185 1473 1580 1964 2370 2455 2946 4740 4910 5892 7365 9820 14730 16433 29460 32866 38789 49299 65732 77578 82165 98598 116367 155156 164330 193945 197196 232734 246495 328660 387890 465468 492990 581835 775780 985980 1163670 1298207 2327340 2596414 3894621 5192828 6491035 7789242 8068603 12982070 15578484 16137206 19473105 24205809 25964140 32274412 38946210 40343015 48411618 77892420 80686030 96823236 121029045 161372060 242058090 484116180 637419637 1274839274 1912258911 2549678548 3187098185 3824517822 6374196370 7649035644 9561294555 12748392740 19122589110 38245178220