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5437219700 = 22521121972281
BaseRepresentation
bin1010001000001010…
…10110001101110100
3112000221002101020102
411010011112031310
542113412012300
62255310253232
7251511414323
oct50405261564
915027071212
105437219700
112340194700
121078ab7218
13688602383
143981940ba
1521c51d0d5
hex144156374

5437219700 has 108 divisors (see below), whose sum is σ = 13040438796. Its totient is φ = 1966272000.

The previous prime is 5437219661. The next prime is 5437219741. The reversal of 5437219700 is 79127345.

It can be written as a sum of positive squares in 6 ways, for example, as 283989904 + 5153229796 = 16852^2 + 71786^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2382560 + ... + 2384840.

Almost surely, 25437219700 is an apocalyptic number.

5437219700 is a gapful number since it is divisible by the number (50) 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 5437219700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520219398).

5437219700 is an abundant number, since it is smaller than the sum of its proper divisors (7603219096).

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

5437219700 is a wasteful number, since it uses less digits than its factorization.

5437219700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 5437219700 is about 73737.5053822680. The cubic root of 5437219700 is about 1758.4321975713.

The spelling of 5437219700 in words is "five billion, four hundred thirty-seven million, two hundred nineteen thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 197 220 242 275 394 484 550 605 788 985 1100 1210 1970 2167 2281 2420 3025 3940 4334 4562 4925 6050 8668 9124 9850 10835 11405 12100 19700 21670 22810 23837 25091 43340 45620 47674 50182 54175 57025 95348 100364 108350 114050 119185 125455 216700 228100 238370 250910 276001 449357 476740 501820 552002 595925 627275 898714 1104004 1191850 1254550 1380005 1797428 2246785 2383700 2509100 2760010 4493570 4942927 5520020 6900025 8987140 9885854 11233925 13800050 19771708 22467850 24714635 27600100 44935700 49429270 54372197 98858540 108744394 123573175 217488788 247146350 271860985 494292700 543721970 1087443940 1359304925 2718609850 5437219700