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20242520232 = 23311531678663
BaseRepresentation
bin10010110110100011…
…000101100010101000
31221020201212120110120
4102312203011202220
5312424041121412
613144351243240
71314425403654
oct226643054250
957221776416
1020242520232
118648414070
123b0b219520
131ba79cb92c
14da05b5a64
157d71c3b8c
hex4b68c58a8

20242520232 has 128 divisors (see below), whose sum is σ = 56591861760. Its totient is φ = 5981630720.

The previous prime is 20242520209. The next prime is 20242520239. The reversal of 20242520232 is 23202524202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20242520239) 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, 2332333 + ... + 2340995.

It is an arithmetic number, because the mean of its divisors is an integer number (442123920).

Almost surely, 220242520232 is an apocalyptic number.

20242520232 is a gapful number since it is divisible by the number (22) 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 20242520232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28295930880).

20242520232 is an abundant number, since it is smaller than the sum of its proper divisors (36349341528).

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

20242520232 is a wasteful number, since it uses less digits than its factorization.

20242520232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The spelling of 20242520232 in words is "twenty billion, two hundred forty-two million, five hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 167 212 264 318 334 424 501 583 636 668 1002 1166 1272 1336 1749 1837 2004 2332 3498 3674 4008 4664 5511 6996 7348 8663 8851 11022 13992 14696 17326 17702 22044 25989 26553 34652 35404 44088 51978 53106 69304 70808 95293 97361 103956 106212 190586 194722 207912 212424 285879 292083 381172 389444 459139 571758 584166 762344 778888 918278 1143516 1168332 1377417 1446721 1836556 2287032 2336664 2754834 2893442 3673112 4340163 5050529 5509668 5786884 8680326 10101058 11019336 11573768 15151587 15913931 17360652 20202116 30303174 31827862 34721304 40404232 47741793 60606348 63655724 76676213 95483586 121212696 127311448 153352426 190967172 230028639 306704852 381934344 460057278 613409704 843438343 920114556 1686876686 1840229112 2530315029 3373753372 5060630058 6747506744 10121260116 20242520232