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401154220 = 225194432383
BaseRepresentation
bin10111111010010…
…010000010101100
31000221211202010201
4113322102002230
51310143413340
6103450043244
712640516555
oct2772220254
91027752121
10401154220
11196494115
12b2419524
1365156a7c
143b3c532c
152534079a
hex17e920ac

401154220 has 48 divisors (see below), whose sum is σ = 889136640. Its totient is φ = 151609536.

The previous prime is 401154217. The next prime is 401154223. The reversal of 401154220 is 22451104.

It is an interprime number because it is at equal distance from previous prime (401154217) and next prime (401154223).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (401154223) 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, 167149 + ... + 169531.

It is an arithmetic number, because the mean of its divisors is an integer number (18523680).

Almost surely, 2401154220 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 401154220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444568320).

401154220 is an abundant number, since it is smaller than the sum of its proper divisors (487982420).

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

401154220 is a wasteful number, since it uses less digits than its factorization.

401154220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 401154220 is about 20028.8347139817. The cubic root of 401154220 is about 737.5143162978.

The spelling of 401154220 in words is "four hundred one million, one hundred fifty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 443 886 1772 2215 2383 4430 4766 8417 8860 9532 11915 16834 23830 33668 42085 45277 47660 84170 90554 168340 181108 226385 452770 905540 1055669 2111338 4222676 5278345 10556690 20057711 21113380 40115422 80230844 100288555 200577110 401154220