Search a number
-
+
1222031401040 = 245191087739621
BaseRepresentation
bin10001110010000110101…
…111110110000001010000
311022211021110200020120202
4101302012233312001100
5130010210014313130
62333220553554332
7154201035343652
oct21620657660120
94284243606522
101222031401040
1143129595a84a
12178a07a159a8
138b310ab2598
144320a5206d2
1521bc3e6d145
hex11c86bf6050

1222031401040 has 80 divisors (see below), whose sum is σ = 2993516497920. Its totient is φ = 462658936320.

The previous prime is 1222031401039. The next prime is 1222031401049. The reversal of 1222031401040 is 401041302221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222031401049) 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, 1282430 + ... + 2022050.

It is an arithmetic number, because the mean of its divisors is an integer number (37418956224).

Almost surely, 21222031401040 is an apocalyptic number.

1222031401040 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 1222031401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496758248960).

1222031401040 is an abundant number, since it is smaller than the sum of its proper divisors (1771485096880).

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

1222031401040 is a wasteful number, since it uses less digits than its factorization.

1222031401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740740 (or 740734 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1222031401040 its reverse (401041302221), we get a palindrome (1623072703261).

The spelling of 1222031401040 in words is "one trillion, two hundred twenty-two billion, thirty-one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1087 1520 2174 4348 5435 8696 10870 17392 20653 21740 41306 43480 82612 86960 103265 165224 206530 330448 413060 739621 826120 1479242 1652240 2958484 3698105 5916968 7396210 11833936 14052799 14792420 28105598 29584840 56211196 59169680 70263995 112422392 140527990 224844784 281055980 562111960 803968027 1124223920 1607936054 3215872108 4019840135 6431744216 8039680270 12863488432 15275392513 16079360540 30550785026 32158721080 61101570052 64317442160 76376962565 122203140104 152753925130 244406280208 305507850260 611015700520 1222031401040