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2190331400160 = 25354563190417
BaseRepresentation
bin11111110111111001111…
…011001100111111100000
321202101121221221202220010
4133313321323030333200
5241341244314301120
64354120243244520
7314150311466241
oct37677173147740
97671557852803
102190331400160
11774a06a78902
122b4601679740
1312b716739247
1478026836cc8
153be977067e0
hex1fdf9eccfe0

2190331400160 has 48 divisors (see below), whose sum is σ = 6899543912016. Its totient is φ = 584088373248.

The previous prime is 2190331400141. The next prime is 2190331400227. The reversal of 2190331400160 is 610041330912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2281594729 + ... + 2281595688.

It is an arithmetic number, because the mean of its divisors is an integer number (143740498167).

Almost surely, 22190331400160 is an apocalyptic number.

2190331400160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2190331400160 is an abundant number, since it is smaller than the sum of its proper divisors (4709212511856).

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

2190331400160 is a wasteful number, since it uses less digits than its factorization.

2190331400160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563190435 (or 4563190427 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 2190331400160 in words is "two trillion, one hundred ninety billion, three hundred thirty-one million, four hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4563190417 9126380834 13689571251 18252761668 22815952085 27379142502 36505523336 45631904170 54758285004 68447856255 73011046672 91263808340 109516570008 136895712510 146022093344 182527616680 219033140016 273791425020 365055233360 438066280032 547582850040 730110466720 1095165700080 2190331400160