Search a number
-
+
122973226740 = 2232571317441619
BaseRepresentation
bin111001010000111000…
…1101000011011110100
3102202102012211011211100
41302201301220123310
54003322121223430
6132254303010100
711612251115640
oct1624161503364
9382365734740
10122973226740
11481751a9401
121b9bb599930
13b79a186530
145d4817dc20
1532eb00b960
hex1ca1c686f4

122973226740 has 288 divisors, whose sum is σ = 486107032320. Its totient is φ = 24419708928.

The previous prime is 122973226699. The next prime is 122973226787. The reversal of 122973226740 is 47622379221.

122973226740 is a `hidden beast` number, since 1 + 229 + 7 + 322 + 67 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57651 + ... + 499269.

It is an arithmetic number, because the mean of its divisors is an integer number (1687871640).

Almost surely, 2122973226740 is an apocalyptic number.

122973226740 is a gapful number since it is divisible by the number (10) 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 122973226740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243053516160).

122973226740 is an abundant number, since it is smaller than the sum of its proper divisors (363133805580).

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

122973226740 is a wasteful number, since it uses less digits than its factorization.

122973226740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441671 (or 441666 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 122973226740 in words is "one hundred twenty-two billion, nine hundred seventy-three million, two hundred twenty-six thousand, seven hundred forty".