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34214487220 = 22534938912601
BaseRepresentation
bin11111110111010101…
…111010010010110100
310021022110121000222101
4133313111322102310
51030032402042340
623415023111444
72320603225414
oct376725722264
9107273530871
1034214487220
1113568205721
12676a442584
1332c3573c14
141928072644
15d53b1ac9a
hex7f757a4b4

34214487220 has 48 divisors (see below), whose sum is σ = 72247266000. Its totient is φ = 13610419200.

The previous prime is 34214487163. The next prime is 34214487257. The reversal of 34214487220 is 2278441243.

It can be written as a sum of positive squares in 8 ways, for example, as 946915984 + 33267571236 = 30772^2 + 182394^2 .

It is a super-2 number, since 2×342144872202 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34214487220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708920 + ... + 2721520.

It is an arithmetic number, because the mean of its divisors is an integer number (1505151375).

Almost surely, 234214487220 is an apocalyptic number.

It is an amenable number.

34214487220 is an abundant number, since it is smaller than the sum of its proper divisors (38032778780).

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

34214487220 is a wasteful number, since it uses less digits than its factorization.

34214487220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13346 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 34214487220 in words is "thirty-four billion, two hundred fourteen million, four hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 389 698 778 1396 1556 1745 1945 3490 3890 6980 7780 12601 25202 50404 63005 126010 135761 252020 271522 543044 678805 1357610 2715220 4397749 4901789 8795498 9803578 17590996 19607156 21988745 24508945 43977490 49017890 87954980 98035780 1710724361 3421448722 6842897444 8553621805 17107243610 34214487220