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23420100 = 223521147151
BaseRepresentation
bin101100101010…
…1110011000100
31122001212100010
41121111303010
521443420400
62153550220
7403032114
oct131256304
948055303
1023420100
1112246960
127a15370
134b10062
143179044
1520c9450
hex1655cc4

23420100 has 144 divisors (see below), whose sum is σ = 75995136. Its totient is φ = 5520000.

The previous prime is 23420087. The next prime is 23420107. The reversal of 23420100 is 102432.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23420107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155025 + ... + 155175.

It is an arithmetic number, because the mean of its divisors is an integer number (527744).

Almost surely, 223420100 is an apocalyptic number.

23420100 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 23420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37997568).

23420100 is an abundant number, since it is smaller than the sum of its proper divisors (52575036).

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

23420100 is a wasteful number, since it uses less digits than its factorization.

23420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23420100 is about 4839.4317848276. The cubic root of 23420100 is about 286.1077234511.

Adding to 23420100 its reverse (102432), we get a palindrome (23522532).

The spelling of 23420100 in words is "twenty-three million, four hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 47 50 55 60 66 75 94 100 110 132 141 150 151 165 188 220 235 275 282 300 302 330 453 470 517 550 564 604 660 705 755 825 906 940 1034 1100 1175 1410 1510 1551 1650 1661 1812 2068 2265 2350 2585 2820 3020 3102 3300 3322 3525 3775 4530 4700 4983 5170 6204 6644 7050 7097 7550 7755 8305 9060 9966 10340 11325 12925 14100 14194 15100 15510 16610 19932 21291 22650 24915 25850 28388 31020 33220 35485 38775 41525 42582 45300 49830 51700 70970 77550 78067 83050 85164 99660 106455 124575 141940 155100 156134 166100 177425 212910 234201 249150 312268 354850 390335 425820 468402 498300 532275 709700 780670 936804 1064550 1171005 1561340 1951675 2129100 2342010 3903350 4684020 5855025 7806700 11710050 23420100