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72222557436540 = 2232571091314014251
BaseRepresentation
bin10000011010111110011111…
…111000010111101001111100
3100110201102001012112210220200
4100122332133320113221330
533431243244200432130
6413334330154443500
721132623205110160
oct2032763770275174
9313642035483820
1072222557436540
1121015461920045
128125270433590
13313b733a54514
1413b983a200ca0
15853a1b487760
hex41af9fe17a7c

72222557436540 has 288 divisors, whose sum is σ = 254597349726720. Its totient is φ = 16231700160000.

The previous prime is 72222557436451. The next prime is 72222557436553. The reversal of 72222557436540 is 4563475522227.

72222557436540 is a `hidden beast` number, since 7 + 2 + 2 + 2 + 2 + 5 + 57 + 43 + 6 + 540 = 666.

It is a super-2 number, since 2×722225574365402 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15984415 + ... + 19998665.

It is an arithmetic number, because the mean of its divisors is an integer number (884018575440).

Almost surely, 272222557436540 is an apocalyptic number.

72222557436540 is a gapful number since it is divisible by the number (70) 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 72222557436540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127298674863360).

72222557436540 is an abundant number, since it is smaller than the sum of its proper divisors (182374792290180).

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

72222557436540 is a wasteful number, since it uses less digits than its factorization.

72222557436540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4014513 (or 4014508 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 72222557436540 in words is "seventy-two trillion, two hundred twenty-two billion, five hundred fifty-seven million, four hundred thirty-six thousand, five hundred forty".