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198274440 = 233571367271
BaseRepresentation
bin10111101000101…
…10110110001000
3111211002101101210
423310112312020
5401224240230
631401413120
74625206410
oct1364266610
9454071353
10198274440
11a1a14581
125649a1a0
1332101a70
141c493640
1512617eb0
hexbd16d88

198274440 has 256 divisors, whose sum is σ = 745758720. Its totient is φ = 41057280.

The previous prime is 198274423. The next prime is 198274441. The reversal of 198274440 is 44472891.

198274440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (198274441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 731505 + ... + 731775.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2198274440 is an apocalyptic number.

198274440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198274440 is the 8130-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198274440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372879360).

198274440 is an abundant number, since it is smaller than the sum of its proper divisors (547484280).

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

198274440 is a wasteful number, since it uses less digits than its factorization.

198274440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 198274440 is about 14080.9957034295. The cubic root of 198274440 is about 583.1168314021.

The spelling of 198274440 in words is "one hundred ninety-eight million, two hundred seventy-four thousand, four hundred forty".