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132223304400 = 243521110016917
BaseRepresentation
bin111101100100100011…
…1111000001011010000
3110122021212110210220020
41323021013320023100
54131243131220100
6140424220143440
712360421354245
oct1731107701320
9418255423806
10132223304400
1151091676690
1221761397b80
13c6126a5675
1465848915cc
15368d1355a0
hex1ec91f82d0

132223304400 has 120 divisors (see below), whose sum is σ = 462060393504. Its totient is φ = 32054131200.

The previous prime is 132223304399. The next prime is 132223304401. The reversal of 132223304400 is 4403322231.

It is an interprime number because it is at equal distance from previous prime (132223304399) and next prime (132223304401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1322233044003 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132223304401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4995259 + ... + 5021658.

Almost surely, 2132223304400 is an apocalyptic number.

132223304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132223304400 is an abundant number, since it is smaller than the sum of its proper divisors (329837089104).

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

132223304400 is a wasteful number, since it uses less digits than its factorization.

132223304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016949 (or 10016938 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132223304400 its reverse (4403322231), we get a palindrome (136626626631).

The spelling of 132223304400 in words is "one hundred thirty-two billion, two hundred twenty-three million, three hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 10016917 20033834 30050751 40067668 50084585 60101502 80135336 100169170 110186087 120203004 150253755 160270672 200338340 220372174 240406008 250422925 300507510 330558261 400676680 440744348 480812016 500845850 550930435 601015020 661116522 751268775 801353360 881488696 1001691700 1101860870 1202030040 1322233044 1502537550 1652791305 1762977392 2003383400 2203721740 2404060080 2644466088 2754652175 3005075100 3305582610 4006766800 4407443480 5288932176 5509304350 6010150200 6611165220 8263956525 8814886960 11018608700 12020300400 13222330440 16527913050 22037217400 26444660880 33055826100 44074434800 66111652200 132223304400