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34022232020 = 22579713718287
BaseRepresentation
bin11111101011111000…
…100000111111010100
310020211001211110102102
4133223320200333110
51024134142411040
623343554301232
72313050125550
oct375370407724
9106731743372
1034022232020
1113479732527
126715b87818
13329279bb4a
14190a708860
15d41ce1515
hex7ebe20fd4

34022232020 has 96 divisors (see below), whose sum is σ = 83101842432. Its totient is φ = 11459616768.

The previous prime is 34022232011. The next prime is 34022232053. The reversal of 34022232020 is 2023222043.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34022231983 and 34022232001.

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, 1851317 + ... + 1869603.

It is an arithmetic number, because the mean of its divisors is an integer number (865644192).

Almost surely, 234022232020 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 34022232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550921216).

34022232020 is an abundant number, since it is smaller than the sum of its proper divisors (49079610412).

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

34022232020 is a wasteful number, since it uses less digits than its factorization.

34022232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537 (or 18535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 34022232020 its reverse (2023222043), we get a palindrome (36045454063).

The spelling of 34022232020 in words is "thirty-four billion, twenty-two million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 137 140 194 274 388 485 548 679 685 959 970 1358 1370 1918 1940 2716 2740 3395 3836 4795 6790 9590 13289 13580 18287 19180 26578 36574 53156 66445 73148 91435 93023 128009 132890 182870 186046 256018 265780 365740 372092 465115 512036 640045 930230 1280090 1773839 1860460 2505319 2560180 3547678 5010638 7095356 8869195 10021276 12416873 12526595 17537233 17738390 24833746 25053190 35074466 35476780 49667492 50106380 62084365 70148932 87686165 124168730 175372330 243015943 248337460 350744660 486031886 972063772 1215079715 1701111601 2430159430 3402223202 4860318860 6804446404 8505558005 17011116010 34022232020