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202420097880 = 2335711137983257
BaseRepresentation
bin1011110010000100101…
…1011001001101011000
3201100111000010101200020
42330201023121031120
511304024021113010
6232553541110440
720424105304650
oct2744113311530
9640430111606
10202420097880
11789339605a0
12332920b8420
131611b823960
149b23693360
1553eab6a470
hex2f212d9358

202420097880 has 1024 divisors, whose sum is σ = 838862438400. Its totient is φ = 37725143040.

The previous prime is 202420097879. The next prime is 202420097917. The reversal of 202420097880 is 88790024202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 787626712 + ... + 787626968.

It is an arithmetic number, because the mean of its divisors is an integer number (819201600).

Almost surely, 2202420097880 is an apocalyptic number.

202420097880 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 202420097880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419431219200).

202420097880 is an abundant number, since it is smaller than the sum of its proper divisors (636442340520).

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

202420097880 is a wasteful number, since it uses less digits than its factorization.

202420097880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 202420097880 in words is "two hundred two billion, four hundred twenty million, ninety-seven thousand, eight hundred eighty".