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202313213240 = 23573121357119
BaseRepresentation
bin1011110001101011001…
…1101010010100111000
3201100012120000002111212
42330122303222110320
511303314140310430
6232535202142252
720421336636635
oct2743263522470
9640176002455
10202313213240
1178889597586
1233262351988
131610263c5c8
149b133cd18c
1553e15a5b95
hex2f1acea538

202313213240 has 64 divisors (see below), whose sum is σ = 461828908800. Its totient is φ = 79749522432.

The previous prime is 202313213237. The next prime is 202313213243. The reversal of 202313213240 is 42312313202.

It is an interprime number because it is at equal distance from previous prime (202313213237) and next prime (202313213243).

It is a super-2 number, since 2×2023132132402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202313213243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513401 + ... + 3570519.

It is an arithmetic number, because the mean of its divisors is an integer number (7216076700).

Almost surely, 2202313213240 is an apocalyptic number.

202313213240 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 202313213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230914454400).

202313213240 is an abundant number, since it is smaller than the sum of its proper divisors (259515695560).

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

202313213240 is a wasteful number, since it uses less digits than its factorization.

202313213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58416 (or 58412 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 202313213240 its reverse (42312313202), we get a palindrome (244625526442).

The spelling of 202313213240 in words is "two hundred two billion, three hundred thirteen million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1213 1460 2426 2920 4852 6065 9704 12130 24260 48520 57119 88549 114238 177098 228476 285595 354196 442745 456952 571190 708392 885490 1142380 1770980 2284760 3541960 4169687 8339374 16678748 20848435 33357496 41696870 69285347 83393740 138570694 166787480 277141388 346426735 554282776 692853470 1385706940 2771413880 5057830331 10115660662 20231321324 25289151655 40462642648 50578303310 101156606620 202313213240