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2200434200432 = 2413711011499901
BaseRepresentation
bin100000000001010100000…
…110010100111101110000
321210100201001011012110222
4200001110012110331300
5242022442123403212
64402510541312212
7314655545045366
oct40012406247560
97710631135428
102200434200432
11779220817216
122b6560b65668
1312c66680a980
14787044b9636
153c38961dc72
hex20054194f70

2200434200432 has 160 divisors (see below), whose sum is σ = 4734090748800. Its totient is φ = 984614400000.

The previous prime is 2200434200429. The next prime is 2200434200443. The reversal of 2200434200432 is 2340024340022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 222238682 + ... + 222248582.

It is an arithmetic number, because the mean of its divisors is an integer number (29588067180).

Almost surely, 22200434200432 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 2200434200432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367045374400).

2200434200432 is an abundant number, since it is smaller than the sum of its proper divisors (2533656548368).

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

2200434200432 is a wasteful number, since it uses less digits than its factorization.

2200434200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 2200434200432 its reverse (2340024340022), we get a palindrome (4540458540454).

The spelling of 2200434200432 in words is "two trillion, two hundred billion, four hundred thirty-four million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 71 101 104 142 149 202 208 284 298 404 568 596 808 923 1136 1192 1313 1616 1846 1937 2384 2626 3692 3874 5252 7171 7384 7748 9901 10504 10579 14342 14768 15049 15496 19802 21008 21158 28684 30098 30992 39604 42316 57368 60196 79208 84632 93223 114736 120392 128713 137527 158416 169264 186446 195637 240784 257426 275054 372892 391274 514852 550108 702971 745784 782548 1000001 1029704 1068479 1100216 1405942 1475249 1491568 1565096 2000002 2059408 2136958 2200432 2811884 2950498 3130192 4000004 4273916 5623768 5900996 8000008 8547832 9138623 11247536 11801992 13000013 13890227 16000016 17095664 18277246 19178237 23603984 26000026 27780454 36554492 38356474 52000052 55560908 71000071 73108984 76712948 104000104 104742679 111121816 142000142 146217968 149000149 153425896 208000208 209485358 222243632 284000284 298000298 306851792 418970716 568000568 596000596 837941432 923000923 1136001136 1192001192 1361654827 1675882864 1846001846 1937001937 2384002384 2723309654 3692003692 3874003874 5446619308 7384007384 7748007748 10579010579 10893238616 14768014768 15496015496 21158021158 21786477232 30992030992 42316042316 84632084632 137527137527 169264169264 275054275054 550108550108 1100217100216 2200434200432