Search a number
-
+
22113232400 = 2452753149011
BaseRepresentation
bin10100100110000011…
…010010011000010000
32010002002221121010102
4110212003102120100
5330241441414100
614054135151532
71411662242210
oct244603223020
963062847112
1022113232400
119418385886
1243518155a8
1321154496cc
1410dac18240
15896548cd5
hex5260d2610

22113232400 has 120 divisors (see below), whose sum is σ = 61862629824. Its totient is φ = 7438579200.

The previous prime is 22113232399. The next prime is 22113232423. The reversal of 22113232400 is 423231122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73895 + ... + 222905.

Almost surely, 222113232400 is an apocalyptic number.

22113232400 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 22113232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30931314912).

22113232400 is an abundant number, since it is smaller than the sum of its proper divisors (39749397424).

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

22113232400 is a wasteful number, since it uses less digits than its factorization.

22113232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149089 (or 149078 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22113232400 its reverse (423231122), we get a palindrome (22536463522).

The spelling of 22113232400 in words is "twenty-two billion, one hundred thirteen million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 53 56 70 80 100 106 112 140 175 200 212 265 280 350 371 400 424 530 560 700 742 848 1060 1325 1400 1484 1855 2120 2650 2800 2968 3710 4240 5300 5936 7420 9275 10600 14840 18550 21200 29680 37100 74200 148400 149011 298022 596044 745055 1043077 1192088 1490110 2086154 2384176 2980220 3725275 4172308 5215385 5960440 7450550 7897583 8344616 10430770 11920880 14901100 15795166 16689232 20861540 26076925 29802200 31590332 39487915 41723080 52153850 55283081 59604400 63180664 78975830 83446160 104307700 110566162 126361328 157951660 197439575 208615400 221132324 276415405 315903320 394879150 417230800 442264648 552830810 631806640 789758300 884529296 1105661620 1382077025 1579516600 2211323240 2764154050 3159033200 4422646480 5528308100 11056616200 22113232400