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20122342000 = 245339725343
BaseRepresentation
bin10010101111011000…
…101001001001110000
31220221100201212220221
4102233120221021300
5312202304421000
613124415342424
71311436041055
oct225730511160
956840655827
1020122342000
1185965a0412
123a96b21a14
131b88b41857
14d8c65102c
157cb88561a
hex4af629270

20122342000 has 80 divisors (see below), whose sum is σ = 48780306432. Its totient is φ = 8028345600.

The previous prime is 20122341947. The next prime is 20122342007. The reversal of 20122342000 is 24322102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122342007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781329 + ... + 806671.

Almost surely, 220122342000 is an apocalyptic number.

20122342000 is a gapful number since it is divisible by the number (20) 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 20122342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24390153216).

20122342000 is an abundant number, since it is smaller than the sum of its proper divisors (28657964432).

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

20122342000 is a wasteful number, since it uses less digits than its factorization.

20122342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25763 (or 25747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 20122342000 its reverse (24322102), we get a palindrome (20146664102).

The spelling of 20122342000 in words is "twenty billion, one hundred twenty-two million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 397 400 500 794 1000 1588 1985 2000 3176 3970 6352 7940 9925 15880 19850 25343 31760 39700 49625 50686 79400 99250 101372 126715 158800 198500 202744 253430 397000 405488 506860 633575 794000 1013720 1267150 2027440 2534300 3167875 5068600 6335750 10061171 10137200 12671500 20122342 25343000 40244684 50305855 50686000 80489368 100611710 160978736 201223420 251529275 402446840 503058550 804893680 1006117100 1257646375 2012234200 2515292750 4024468400 5030585500 10061171000 20122342000