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402226992 = 2433953977
BaseRepresentation
bin10111111110010…
…111111100110000
31001000212020201000
4113332113330300
51310432230432
6103525042000
712652605306
oct2776277460
91030766630
10402226992
11197057102
12b2856300
136544114b
143b5c4276
15254a357c
hex17f97f30

402226992 has 80 divisors (see below), whose sum is σ = 1156934880. Its totient is φ = 133797888.

The previous prime is 402226973. The next prime is 402226997. The reversal of 402226992 is 299622204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402226997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411208 + ... + 412184.

It is an arithmetic number, because the mean of its divisors is an integer number (14461686).

Almost surely, 2402226992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402226992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578467440).

402226992 is an abundant number, since it is smaller than the sum of its proper divisors (754707888).

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

402226992 is a wasteful number, since it uses less digits than its factorization.

402226992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 402226992 is about 20055.5975228862. The cubic root of 402226992 is about 738.1711546981.

The spelling of 402226992 in words is "four hundred two million, two hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 953 977 1906 1954 2859 2931 3812 3908 5718 5862 7624 7816 8577 8793 11436 11724 15248 15632 17154 17586 22872 23448 25731 26379 34308 35172 45744 46896 51462 52758 68616 70344 102924 105516 137232 140688 205848 211032 411696 422064 931081 1862162 2793243 3724324 5586486 7448648 8379729 11172972 14897296 16759458 22345944 25139187 33518916 44691888 50278374 67037832 100556748 134075664 201113496 402226992